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- 4 years ago, the ratio of the ages of Arun and Praveen is 8: 7. Present age of Raju is 12 more than one – sixth of Arun’s present age. Find the ratio of present age of Praveen and Raju, if Arun’s age after 5 years is 41 years?
- 13 : 8
- 16 : 9
- 11 : 5
- 8 : 3
- None of these
- The present age of Kala and her husband is 4: 5. The present age Kala’s daughter is (1/3) of Kala’s present age. Kala’s daughter is 3 years younger than her son. Find the difference between the present age of Kala and her husband, if the age of Kala’s son, after 5 years is 20 years?
- 12 years
- 15 years
- 13 years
- 9 years
- None of these
- The ratio of present ages of Sri and Gowtham is 5:7. Rajesh is 5 years older than Sri and one year younger than Gowtham. Find the sum of the present ages of Sri and Gowtham?
- 36 years
- 30 years
- 32 years
- 34 years
- None of these
- The ratio of B’s age six years hence to C’s present age is 4 : 3. A’s present age is twice the age of C. If B is Fourteen years younger than A. then what was C’s age 2 years ago?
- 14 years
- 19 years
- 10 years
- 12 years
- 17 years
- 3 years ago, the ratio between the ages of Asha and Ragu is 3: 4. Praveen is 6 years older than Ragu. Asha’s age, after 4 years is 25 years. Find the present age of Praveen?
- 30 years
- 33 years
- 35 years
- 27 years
- None of these
- The product of the ages of Anusha and Nisha is 300. If twice the age of Anusha is more than Nisha’s age by 10 years, then find Anusha’s age?
- 19 years
- 23 years
- 15 years
- 17 years
- None of these
- Ratio of the present ages of Ram and his wife is 5: 4. Five years ago, ratio of their ages was 9: 7. After how many years, ratio of their ages will be 6: 5?
- 10 years
- 13 years
- 15 years
- 17 years
- None of these
- 8. 4 years ago, Raghav and Karuna’s age is in the ratio of 2: 3. Sum of their present ages are 7 years more than Meena’s present age. Find the present age of Meena, if Karuna’s age after 5 years is 27 years?
- 27 years
- 25 years
- 23 years
- 31 years
- None of these
- The ratio of present ages of Sanjay and Anand is 5: 4. Three years hence, the ratio of their ages will become 11: 9. The present age of Priyanka is half of the present age of Sanjay. Find Priyanka’s present age?
- 18 years
- 15 years
- 12 years
- 22 years
- None of these
- Meena’s present age is three times her son’s present age and two fifth of her father’s present age. The average present age of all of them is 46 years. What is the difference between the Meena’s son’s present age and Meena’s father’s present age?
- 56 years
- 64 years
- 78 years
- 72 years
- None of these
Answers:
1.Answer b
4 years ago, the ratio of the ages of Arun and Praveen = 8: 7 (8x, 7x)
Present ages of Arun and Praveen = 8x + 4, 7x + 4
Present age of Raju = (1/6)*Arun’s present age + 12
Arun’s present age = 36 years
8x = 32
x = 4
Praveen’s present age = 7x + 4 = 32
Raju’s present age = (1/6)*36 + 12 = 18
Required ratio = 32: 18 = 16: 9
2.Answer d
The present age of Kala and her husband = 4 : 5 (4x, 5x)
The present age Kala’s daughter = (1/3)*Kala’s present age
Kala’s daughter = Kala’s son – 3
Kala’s son after 5 years = 20 years
Kala’s son’s present age = 15 years
Kala’s daughter = 15 – 3 = 12 years
Kala’s present age = 3*12 = 36 years
4’s = 36
1’s = 9
Present age of Kala’s husband = 5x = 45 years
Required difference = 45- 36 = 9 years
3.Answer a
Ratio of present ages of Sri and Gowtham = 5:7 (5x, 7x)
Rajesh = Sri + 5 = 5x + 5
Rajesh = Gowtham – 1 = 7x – 1
According to the question,
5x + 5 = 7x – 1
7x – 5x = 6
2x = 6
X = 3
Present age of Sri = 5x = 15
Present age of Gowtham = 7x = 21
Required sum = 15 + 21 = 36 years
4.Answer c
The ratio of B’s age six years hence to C’s present age = 4: 3 (4x, 3x)
Present age of B and C = 4x – 6, 3x
A = 2*C = 2*3x = 6x
B = A – 14
4x – 6 = 6x – 14
14 – 6 = 6x – 4x
2x = 8
X = 4
C’s age 2 years ago = 3x – 2 = 12- 2 = 10 years
5.Answer b
3 years ago, the ratio between the ages of Asha and Ragu = 3 : 4 (3x, 4x)
Praveen = Ragu + 6
Asha’s age, after 4 years = 25
Asha’s present age = 21 years
3x + 3 = 21
3x = 18
X = 6
Ragu’s present age = 4x + 3 = 27 years
Present age of Praveen = 27 + 6 = 33 years
6.Answer c
Let the age of Anusha and Nisha be x and y respectively,
x*y = 300
2*x = y + 10
X = (y + 10)/2
[(y + 10)/2]*y = 300
Y2 + 10y = 600
Y2 + 10y – 600 = 0
(y – 20) (y + 30) = 0
Y = 20, -30 (-30 will be eliminated)
Anusha’s age = 300/20 = 15 years
7.Answer a
Let the present ages of Ram and his wife are 5x and 4x respectively.
(5x – 5)/(4x – 5) = 9/7
=> 35x – 35 = 36x – 45
=> x = 10
Present age of Ram = 5x = 50 years
Present age of his wife = 4x = 40 years
Let after y years ratio of their ages will be 6: 5,
(50 + y)/(40 + y) = 6/5
=> 250 + 5y = 240 + 6y
=> y = 250 – 240
=> y = 10 years
8.Answer d
4 years ago, the ratio of ages of Raghav and Karuna = 2: 3(2x, 3x)
Karuna’s age after 5 years = 27 years
Karuna’s present age = 22 years
3’s = 18
1’s = 6
Raghav’s present age = 2x + 4 = 16 years
According to the question,
16 + 22 = 7 + Meena’s present age
38 – 7 = Meena’s present age
Meena’s present age = 31 years
9.Answer b
The ratio of present ages of Sanjay and Anand = 5: 4 (5x, 4x)
3 years hence, their ratio will become = 11: 9
According to the question,
(5x + 3)/(4x + 3) = (11/9)
45x + 27 = 44x + 33
X = 6
Sanjay’s present age = 5x = 30 years
Present age of Priyanka = 30/2 = 15 years.
10.Answer c
The ratio of present age of Meena and her son’s age = 3 : 1 (3x, x)
Meena’s present age = (2/5)*Meena’s father’s present age
Meena’s father’s present age = (15/2)x
According to the question,
x + 3x + (15/2) x = 138
(2x + 6x + 15x)/2 = 138
23x = 138*2
x = 12
Required difference = 90 – 12 = 78 years
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