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⁞ Problems On Numbers

Aptitude ➤ Problems On Numbers ➤ 1

In this section, questions involving a set of numbers are put in the form of a puzzle. You have to analyze the given conditions, assume the unknown numbers and form equations accordingly, which on solving yield the unknown numbers.

Question 1
Q1.  What is the sum of two consecutive even numbers, the difference of whose squares is 84 ?
 

Answer :  42


Let the numbers be x and x + 2.
Then, (x + 2)2 - x2 = 84
⇒ 4x + 4 = 84
⇒ 4x = 80
⇒ x = 20.

∴ The required sum = x + (x + 2) = 2x + 2 = 42.
⚔ DISCUSS

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