Question

If Jake loses $8$ pounds, he will weigh twice as much as his sister. Together they now weigh $278$ pounds. What is Jake's present weight, in pounds?

• A. $131$
• B. $135$
• C. $139$
• D. $147$
• E. $188$

Answer 1

The correct option is E $188$

Let Jake's weight=W pounds

Jake's sister's weight=V pounds

Given: $W-8=2V$

$W-2V=8$ $\to \left(1\right)$

Given: Sum sum of their weights $=278$

$W+V=278$ $\to \left(2\right)$

$\left(2\right)-\left(1\right)\Rightarrow 3V=270$

$V=90$

$\therefore W=188$pounds.