Question

age of a is one third of age of b. after 15year, the age of a will be half of the age of b. find their present age.

Answer 1

Hi ,

At present
________

age of B = x years

age of A = one third of b's age

= x / 3 years

After 15 years
___________

age of B = ( x + 15 ) years

age of A = ( x/3 + 15 ) years

age of A = half of age of B

x/3 + 15 = ( x + 15 )/2

( x + 45 )/ 3 = ( x + 15 )/ 2

2( x + 45 ) = 3 ( x + 15 )

2x + 90 = 3x + 45

90 - 45 = 3x - 2x

45 = x

x = 45

Therefore,

At present,

age of A = x = 45 years

age of B = x/3

= 45/3


= 15 years

i hope this will useful to you.

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