The sum of the squares of two numbers is 100. One number is 2 more than the other. Find the larger number?

Answer: 8

Let the smaller number be x.

The larger number is x + 2.

Given:

x² + (x + 2)² = 100

x² + x² + 4x + 4 = 100

2x² + 4x - 96 = 0

x² + 2x - 48 = 0

(x + 8)(x - 6) = 0

x = -8 or x = 6

If x = -8, larger number = -8 + 2 = -6

If x = 6, larger number = 6 + 2 = 8

This question appeared in Past Papers (5 times)

ETEA 25 Years Past Papers Subject Wise (Solved) (2 times)

ETEA Past Papers (1 times)

KPK Teacher Past Papers SST PST CT TT PET (2 times)

This question appeared in Subjects (1 times)

MATHS MCQS (1 times)

Related MCQs