The document contains 4 word problems involving ages. The first problem asks to find the present age of a mother given her son's present age is 3 times less than hers and she was 30 when she had her children. The mother's present age is 36 years. The second problem asks to find the present age of B given the average age of A, B, C is 30 and 6 years ago their ages were in a ratio of 8:7:9. B's present age is 27 years. The third problem asks to find the present age of B if in 10 years A will be twice as old as B was 10 years ago and currently A is 9 years older than B. B's present

1. Ages
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2. 1. The present age of a mother is thrice her son’s present age. The
mother’s age was 30years when she gave birth to her only daughter
who is 6 years younger to her only son. Find the present age of the
mother?
2. The average age of A, B, C at present is 30 years. 6 years ago, their
ages 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 9
years 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 your
birth”. If the present age of father is 42 years, then find the present age of
son?

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

4. The average age of A, B, C at present is 30 years. 6 years ago, their
ages 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 = 30
A-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

5. A will be twice as old as B was 10 years ago. If A is now 9 years older
than 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

6. A father said to his son, “I was as old as you are at the time of your birth”. If
the 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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