Who is the heaviest?

Algebra Level pending

The sum of the weights of Ben, Mike and Adam is 200 kilograms. If the weight of Adam is one-third the sum of the weights of Ben and Mike, what is the weight of Adam (in kilograms)?

The answer is 50.

1 solution

A Former Brilliant Member
Oct 9, 2017

Let $b,m$ and $a$ be the weights of Ben, Mike and Adam, respectively. Then

$b+m+a=200$ $\color{#D61F06}(1)$

$a=\dfrac{1}{3}(m+b)$ $\implies$ $m+b=3a$ $\color{#D61F06}(2)$

Substitute $\color{#D61F06}(2)$ in $\color{#D61F06}(1)$ , we have

$3a+a=200$

$4a=200$

$\boxed{a=50~kilograms}$

Who is the heaviest?

The answer is 50.

1 solution

0 pending reports