Sachin is younger than Rahul by 7 years. If the ratio of their ages is 7:9, find the age of Sachin

Correct Answer: 13:6

Explanation:

Let the son's age = x. therefore, the father's age be 3x, Given the product of their ages = 147. => x * 3x = 147 => 3x² = 147. => x² = (147/3) => x² = 49 => x = 7. Therefore, present age of son = x = 7 years. Present age of father = 3x = 21. Age of father after 5 years = 21+5 = 26 years. Age of son after 5 years = 7+5 = 12 years. Ratio=13 : 6

Correct Answer: 11/P + 6

Explanation:

Let Ben?s age now be B

Anita?s age now is A.

(A - 6) = P(B - 6)

But A is 17 and therefore 11 = P(B - 6)

11/P = B-6

(11/P) + 6 = B

Correct Answer: Father = 40; Son =24

Explanation:

Let the present age of the man be 'P' and son be 'Q',
Given, P + Q = 64 or Q = (64 - P)
Now the man says "I am five times as old as you were, when I was as old as you are",
So, P = 5[B - (P - Q)]
We get 6P = 10Q,
Substitute value for Q,
6P = 10(64 - P),
Therefore P = 40, Q = 24.

Correct Answer: 18 years

Explanation:

Total age of 10 students = 150 years Total age of 15 students = 240 years Total age of 5 new students = 240 - 150 = 90 years Therefore, average age of 5 new students = 90/5 = 18 years

Correct Answer: 15

Explanation:

Let the present ages of son and father be x and (60 -x) years respectively.

Then, (60 - x) - 5= 4(x - 5)

55 - x = 4x - 20

5x = 75  => x = 15

Correct Answer: 70 years

Explanation:

Take A's age as a, B's age as b. a + b = 60 a = 2b So, b + 2b = 60 3b = 60 b = 20 a = 40 So A is 40, B is 20. In 5 years' time, A will be 45, B will be 25. so the sum of their ages will be 70

Correct Answer: 60 yrs

Explanation:

Let the Father be x years when he died

Average Age 10 years ago be A

Total Age 10 years ago = 6*A

Total Age after 10 years(Just before father's Death) = 6A + 6*10 = 6A + 60

Father Died and Baby was born => the Total number of people in the family is Same (6)
Baby born today so age of baby = 0

(6A +60 - x)/6 = 6A/6
=> A + 10 -(x/6) = A
=> x/6 = 10
=> x = 60

Therefore we can conclude that the father was 60 years old when he died.

Correct Answer: data inadequate

Explanation:

Let Meena?s age = A.
Then Sivagami?s age = A + 2
After 6 years the total of their ages will be 7 times of what?
Not clear.
So the given data are inadequate.

Correct Answer: 40

Explanation:

Let daughter?s age = A and mother?s age = B
Given: 2A+B = 70 and A+2B = 95
Solving B, we will get B = 40.

Correct Answer: 4

Explanation:

Let x = the youngest child. Each of the other four children will then be x+3, x+6, x+9, x+12. 

 

We know that the sum of their ages is 50 .

 

so, x+(x+3)+(x+6)+(x+9)+(x+12) = 50

 

=>  x= 4

 

 The youngest child is 4 years old.