Question

A sum of money is divided in the ratio 3:5:9.calculate the smallest share given the largest share is $54

Answer 1

Here Your answer✍️

Money is Divided into Ratio➡️3:5:9
Let Ratio be➡️3x,5x,9x
Smallest share is=3x
Largest Share is=9x

Question says
Largest share is=$54
A/Q
3x+5x+9x=Total money
Total money will be Sum
so,
3x+5x+9x=3x+5x+9x
But 9x=$54
So,
➡️3x+5x+9x=3x+5x+$54
17x=8x+54
17x-8x=54
9x=54
x=54/9
x=6

➡️Smallest Share=3x
=3×6=$18
➡️Then share=5x
=5×6=$30
➡️Largest share=$54
hOpe You understand