Question

please answer this question​

Answer 1

Answer:

12 years

Step-by-step explanation:

Given,

We need to find son's age    (let it be x)

Mother is 25 years older than son    (x + 25)

after 8 years the ratio of son's age to mother's age = $\frac{4}{9}$

After 8 years

⇒ $\frac{x+8}{(x+25)+8}=\frac{4}{9}$

⇒ $9(x+8)=4(x+25+8)$

⇒ $9x+72=4x+100+32$

⇒ $9x-4x=100+32-72$

⇒ $5x=60$

⇒ $x=\frac{60}{5}$

⇒ $x=12$

∴ Son's age is 12

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