Question

A number is divided into two parts such that one part is 10 more than the other. If the two parts are in the ratio 5:3, find the number

Answer 1

lets parts are $x,y$

now $\frac{x}{y}=\frac{5}{3}$

$3x=5y$.......(1)

$x=y+10$.......(2)

Put (2) in (1)

$3(y+10)=5y$

$30=5y-3y$

$15=y$

$x=25$

So,

Parts are $25,15$