Paper 1 · Mathematical Reasoning and Aptitude
UGC NET December 2021 June 2022 (20.09.2022) Shift-II
Eighteen years ago, a man was three times as old as his son. Now the man is twice as old as his son. The sum of the present ages of the man and his son is
A72
B100
C105
D108 ✓ Correct
Correct answer: (D) 108 — The answer is 108.
Explanation
★The answer is 108.
★Let the son's age 18 years ago be x, so the man's was 3x.
★Now, 18 years later, the man 3x plus 18 is twice the son x plus 18.
★Solving 3x plus 18 equals 2 times x plus 18 gives x equal to 18.
★The present ages are 3x plus 18 and x plus 18, which sum to 4x plus 36.
★That is 4 times 18 plus 36, which is 108.
★So the answer is 108.
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