Question

The present ages of amit and his father are in the ratio 2:5 respectively.four years hence, the ratio of their ages becomes 5:11 respectively.what was the father's age five years ago

Answer 1

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Answer 2

Answer:

The father's age five years ago is  35 years

Step-by-step explanation:

The present ages of Amit and his father are in the ratio 2:5

Let teh ratio be x

Amit's present age = 2x

Father's present age = 5x

Amit's age after 4 years = 2x+4

Father's age after 4 years = 5x+4

Now we are given that the ratio of their ages becomes 5:11

So, $\frac{2x+4}{5x+4}=\frac{5}{11}$

$11(2x+4)=5(5x+4)$

$22x+44=25x+20$

$24=3x$

$8=x$

So, father's present age = 5x = 5(8)=40 years

So,  the father's age five years ago = 40-5 = 35 years

Hence the father's age five years ago is 35 years