Paper 1 · Mathematical Reasoning and Aptitude
UGC NET December 2021 June 2022 (23.09.2022) Shift-I
The ratio of the present ages of two persons A and B is 4:3. If 4 years ago the ratio of their ages was 2:1, what is the present age of A and B in years respectively?
A8, 6 ✓ Correct
B9, 7
C12, 9
D9, 12
Correct answer: (A) 8, 6 — The answer is 8 and 6.
Explanation
★The answer is 8 and 6.
★Let the present ages be 4x for A and 3x for B.
★Four years ago the ages were 4x minus 4 and 3x minus 4, in the ratio 2 to 1.
★Solving 4x minus 4 equals 2 times 3x minus 4 gives x equal to 2.
★So A is 4 times 2, which is 8, and B is 3 times 2, which is 6.
★Thus the present ages are 8 and 6 years.
★So the answer is 8 and 6.
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