A child age is two third the age

Asked by admin @ 29/08/2021 in Math viewed by 670 People

find the age of child whose age is two third of his elder brother, after 5 years he will be four fifth of the elder brothers age. how old is the child

Answered by admin @ 29/08/2021

Answer:

The child is 5 years old.

Step-by-step explanation:

Let us take the ratio as 2 : 3 for the present age.

Then, (2x + 5) / (3x + 5) = 4/5

By cross-multiplication, 5 (2x + 5) = 4 (3x + 5)

= 10x + 25 = 12x + 20

= 25 - 20 = 12x - 10x

= 5 = 2x

= x = 2.5

Thus, the child is 5 years and his brother is 7.5 years old

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