Question

A is younger than b seven times the difference between their ages is equal to sum of their ages. Ratio of b's age after 12 years and a's present age is 5:3 then what is a's present age?​

Answer 1

Answer:

The age of A is 36 years see the process in the above image

Answer 2

The a's present age is 4 years.

Step-by-step explanation:

Let the age of A be 'a'.

Let the age of B be 'b'.

According to question, we get that

$(b-a)=7(a+b)\\\\b-a=7a+7b\\\\b-7b=7a+a\\\\-6b=8a\\\\-3b=4a$

Ratio of b's age after 12 years and a's present age = 5:3

so, it becomes,

$\dfrac{b+12}{a}=\dfrac{5}{3}\\\\3b+36=5a\\\\-4a+36=5a\\\\36=5a+4a\\\\36=9a\\\\a=\dfrac{36}{9}\\\\a=4$

Hence, the a's present age is 4 years.

# learn more:

A and b age ratio is 9:4 .after seven years their age ratio is 5:3 then what is there present age

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