Ages

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1. The present age of a mother is thrice her son’s present age. Themother’s age was 30years when she gave birth to her only daughterwho is 6 years younger to her only son. Find the present age of themother?

2. The average age of A, B, C at present is 30 years. 6 years ago, theirages were in ratio of 8:7:9 respectively. Find the present age of B?

3. In 10 years, A will be twice as old as B was 10 years ago. If A is now 9years older than B, then find the present age of B?

4. A’s father said to his son, “I was as old as you are at the time of yourbirth”. If the present age of father is 42 years, then find the present age ofson?

The present age of a mother is thrice her son’s present age. The mother’sage was 30years when she gave birth to her only daughter who is 6years younger to her only son. Find the present age of the mother?

1.

The present age of the mother = 36 years

Ans:Let the present age of son = x years present age of mother = 3x years When mother age is 30, her son’s age is 6 years m = s + 24 and m = 3s => s+24 = 3s M = 36

The average age of A, B, C at present is 30 years. 6 years ago, theirages were in ratio of 8:7:9 respectively. Find the present age of B?

2.

Present age of B = 27 years

Ans:(A+B+C)/3 = 30A-6 : B-6 : C-6 = 8 : 7: 9 => A-6 = 8p, B – 6 = 7p, C -6 = 9p (8p+6 + 7p+6 + 9p+6 ) /3 = 30 p = 3 B = 27

A will be twice as old as B was 10 years ago. If A is now 9 years olderthan B, then find the present age of B?

3.

Ans :a = 2 ( b-10 )a = b + 9=> a = 38 and b = 29

Present age of B = 29 years

A father said to his son, “I was as old as you are at the time of your birth”. Ifthe present age of father is 42 years, then find the present age of son?

4.

Ans :From the question,The present age of father is twice that of his son 2x = 42 X = 21 years Present age of his son is 21 years

Present age of his son is 21 years

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