Question

Divide number 60 into three parts in a ratio of 2:3:5.

Answer 1

Answer:

The three parts are 12,18 and 30

Explanation:

Let

x ----> the first part

y ----> the second part

z ----> the third part

we know that

$x+y+z=60$ -----> equation A

$\frac{x}{y}=\frac{2}{3}$

$x=\frac{2}{3}y$ -----> equation B

$\frac{y}{z}=\frac{3}{5}$

$z=\frac{5}{3}y$ ----> equation C

substitute the equation B and the equation C in equation A and solve for y

$\frac{2}{3}y+y+\frac{5}{3}y=60$

$\frac{10}{3}y=60$

$y=60(3)/10$

$y=18$

Find the value of x

$x=\frac{2}{3}(18)=12$

Find the value of z

$z=\frac{5}{3}(18)=30$

therefore

The three parts are 12,18 and 30