Question

- Difference of the ages of two brothers is 2 and difference of squares of their ages is 16
the age of smaller one is

Answer 1

the age of smaller one is 2

Answer 2

Heya !!

Let the ages of two brothers be X years and Y years.

According to question,

X - Y = 2 -------equation (1)

And,

( X )² - ( Y )² = 16 ----------equation (2)

From equation (1) we get,

X - Y = 2

X = ( 2 + Y ) ----------equation (3)

Putting the value of X in equation (2)

( X )²- ( Y )² = 16

( 2 + Y )² - ( Y )² = 16

(Y)² + (2)² + 2 × 2 × Y - Y² = 16

y² - y² + 4 + 4Y = 16

4Y + 4= 16

4 ( Y + 1 ) = 12

Y + 1 = 3

y = 2
Putting the value of y in equation (3)

X = ( 2 + y ) = ( 2 + 2 ) = 4 years.

Hence,

Age of younger brother is 2 years.

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