Question

Difference between the squares of $2$ consecutive numbers is $31$. Find the numbers.

• A. $35,16$
• B. $15,19$
• C. $27,16$
• D. $15,16$

Answer 1

The correct option is D $15,16$

Let Consecutive no. be $x$ and $x+1$

According to question,

$(x+1{)}^2-x^2=31$

$⟹x^2+2x+1-x^2=31$

$⟹2x=30$

$⟹x=15$

Hence numbers are, $15$ and $16$.