Question

find two consecutive integers whose sum is 25

Answer 1

Let the required numbers be x and x+1.

Given: x2 + (x+1)2 = 25

2x2 + 2x - 24 = 0

Þ x2 + x - 12 = 0

i.e. x2 + 4x - 3x - 12 = 0

i.e. x(x + 4) - 3(x + 4) = 0

(x + 4) (x - 3) = 0

x = - 4 or x = 3

Rejecting x = -4, we get the given consecutive positive integers as

x = 3 and x + 1 = 3 + 1 = 4

thanks!

Answer 2

Answer:

the answer is 16,9.

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