A's age 10 years later from now will be thrice as old as B was 10 years ago from now. If A is now 6 years older than B, the present age of B is:
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 23 years
Write both ages in terms of B’s present age, then turn the sentence about the two times into an equation. Let B’s present age be \(b\) years, so A’s present age is \(b+6\).
A’s age 10 years from now: \(b+6+10=b+16\)
B’s age 10 years ago: \(b-10\)
The first is three times the second: \(b+16=3(b-10)\)
\(b+16=3b-30\)
\(2b=46\), so \(b=23\)
B is now 23 years old (and A is 29).