Jack is now 14 years older than Bill. If in 10 years Jack will be twice as old as Bill, how old will Jack be in 5 years?
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Correct Answer: Option C
Explanation:
Let \(J = Jack\) and \(B =\) Bill
\(J = B +14\)
\(J- B =14 \ldots \ldots(1)\)
\(J +10=2( B +10)\)
\(J +10=2 B +20\)
\(J-2 B=20-10\)
\(J-2 B=10 \ldots .(2)\)
Subtract eqn (1) from eqn (2)
\(B=4\), Put \(B=4\) into eqn (1)
\(J-4=14\)
\(J=14+4=16\)
In 5 years time, Jack will be
\(J +5=16+5=21\) years
Let \(J = Jack\) and \(B =\) Bill
\(J = B +14\)
\(J- B =14 \ldots \ldots(1)\)
\(J +10=2( B +10)\)
\(J +10=2 B +20\)
\(J-2 B=20-10\)
\(J-2 B=10 \ldots .(2)\)
Subtract eqn (1) from eqn (2)
\(B=4\), Put \(B=4\) into eqn (1)
\(J-4=14\)
\(J=14+4=16\)
In 5 years time, Jack will be
\(J +5=16+5=21\) years