Question

The ratio of the age of father and son in a family is 11: 6. If the age of the
mother is added to the age of the son then the ratio becomes 11: 16. If th
age of the son is 30 years, what is the age of the mother?
(a) 25 years
(b) 50 years
(c) 15 years
(d) 45 years​

Answer 1

Step-by-step explanation:

Let father age is 7x

And son age is 2x

then after 15 year father age is 7x+15

After 15 year son age is 2x+15

⇒

2x+15

7x+15

=

1

2

⇒4x+30=7x+15

⇒4x−7x=15−30

⇒−3x=−15⇒x=5

Hence father present age=7×5=35

Son present age=2×5=10

difference of father and son age=35−10=25

So father age was 25 years when son was born

Answer 2

the mothers age is 25 years....

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