Question

The sum of the masses of two heavyweight boxers is 190kg. ⅘ the heavier boxer is 10kg less than the mass of lighter boxer. Find their masses​

Answer 1

Answer:

Their masses are 100 kg and 90 kg

Step-by-step explanation:

Equations

We'll solve the problem by setting only one variable. Let's call:

x = weight of the heavier boxer

Since the sum of the masses of both boxers is 190 Kg:

190 - x = mass of the lighter boxer.

It's given that $\frac{4}{5}$ of the mass of the heavier boxer is 10 kg less than the mass of the other, thus:

$\displaystyle \frac{4}{5}x=190-x-10$

Operating:

$\displaystyle \frac{4}{5}x=180-x$

Multiplying by 5:

$\displaystyle 4x=5(180-x)$

$\displaystyle 4x=5*180-5x$

Simplifying:

$\displaystyle 9x=900$

$x=\frac{900}{9}=100$

The heavier boxer's mass is 100 kg. The lighter boxer has a mass of 190-100 = 90 kg.

Their masses are 100 kg and 90 kg