Banu is 20 years older than binu. in 5 years, banu will be twice as old as binu. find their present age.

ANSWER:

Banu's present age = 45
Binu's present age = 25

Banu's present age is 45 years old while Binu's present age is 25 years old.

STEP-BY-STEP EXPLANATION:

We will be using simultaneous equations to solve this problem.

Let's first establish the two equations we will be using to solve this problem.

Let Banu's present age = x

Let Binu's present age = y

Equation No. 1 -

x = y + 20

Equation No. 2 -

x + 5 = 2y

To begin with, as ( x ) is already the subject in the first equation and it is already in its simplest form, we will substitute the value of ( x ) given from the first equation into the second equation to solve for ( y ) accordingly.

Equation No. 2 -

x + 5 = 2y

( y + 20 ) + 5 = 2y

y + 25 = 2y

y - 2y = - 25

- y = - 25

y = 25

From this, we will substitute the value of ( y ) from the second equation into the first equation to solve for ( x ) accordingly.

Equation No. 1 -

x = y + 20

x = ( 25 ) + 20

x = 45