The difference of the squares of two consecutive integers is 119. What is the sum of these integers?

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119

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None of these

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Official Explanation

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Let the two consecutive integers be n and n+1. The difference of their squares can be expressed as: (n+1)^2 - n^2. Expanding this gives: (n^2 + 2n + 1) - n^2 = 2n + 1. We set this equal to 119:…

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Comments

HarshiMar 23, 2025

Thankss

ShivangiApr 26, 2025

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AlessandroMar 23, 2025

thanks for the answer

RhythmJan 8, 2025

thanks a lot

SiddharthJul 21, 2024

taking my GMAT next month, this helps!

OjasFeb 27, 2025

Great

What this question tests

What it tests

Your ability to manipulate linear and quadratic expressions, substitute unknowns, and solve equations under time pressure.

Common trap

Losing a sign when moving terms across the equals sign, or dividing both sides by a variable that could equal zero.