Question

Difference between two numbers is 9 and difference between their squares is 981. Lowest of the two numbers is:

Options

• 40

• 50

• 55

• 59

Answer 1

50

Explanation:

Let the two numbers be x and y.

According to the question,

x² − y² = 981 and x − y = 9

⇒ (x − y) (x + y) = 981

`"x"+"y"=981/9=109`

 x + y = 109

x − y = 9

Solving both the equation,

x = 59, y = 50

∴ Lowest number is 50.