Paper 1 · Mathematical Reasoning and Aptitude
UGC NET December 2023 (12.12.2023) Shift-II
Given are two numbers whose ratio is 7:3. If 2 is added to each of them, their ratio becomes 2:1. What is the sum of these two numbers?
A10
B15
C20 ✓ Correct
D18
Correct answer: (C) 20 — The sum of the two numbers is 20, so that is the answer.
Explanation
★The sum of the two numbers is 20, so that is the answer.
★Let the numbers be 7k and 3k, keeping the ratio 7 to 3.
★Adding 2 to each gives 7k plus 2 and 3k plus 2.
★Setting their ratio to 2 to 1 gives 7k plus 2 equals 2 times 3k plus 2.
★Solving gives k equal to 2, so the numbers are 14 and 6.
★Their sum is 14 plus 6, which is 20.
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