Together Akira and Jamie weigh $101 \mathrm{~kg}$. Together Akira and Rabia weigh $91 \mathrm{~kg}$. Together Rabia and Jamie weigh $88 \mathrm{~kg}$. How many kilograms does Akira weigh?
(A) 48
(B) 46
(C) 50
(D) 52
(E) 38
Since Akira and Jamie together weigh $101 \mathrm{~kg}$, and Akira and Rabia together weigh $91 \mathrm{~kg}$, then Jamie weighs $10 \mathrm{~kg}$ more than Rabia. So let Rabia's weight be $x \mathrm{~kg}$. Then Jamie's weight is $(10+x) \mathrm{kg}$. So from the third piece of information given,

$$
\begin{array}{r}
x+x+10=88 \\
2 x=78 \\
x=39
\end{array}
$$

Since Rabia weighs $39 \mathrm{~kg}$, then Akira weighs $52 \mathrm{~kg}$, since their combined weight is $91 \mathrm{~kg}$.

ANSWER: (D)