Question

Divide 99 into two parts, so that four fifth of the one equal to two third of the other. find both the numbers

Answer 1

x+y=99
y=99-x
(4/5)x=(2/3)y
(4/5)x=(2/3)(99-x)
(6/5)x=99-x
(11/5)x=99
x=45
y=99-45
y=54

Answer 2

let the first number be x
second be 99-x
1/4x=2/3(99-x)
.25=66-2x/3
2x/3=66-0.25
2x/3=65.75
2x=65.75*3
x=66.75*3/2
x=33.375*3
x=100.125
99-x=-1.125