Question 1010901
The sum of 1/3 of the smaller of two numbers and 2/5 of the larger is 34. Also , 1/2 of the smaller number is equal to 1/4 of the larger. Find the numbers.

let x=smaller of two numbers
let y=larger of two numbers
x/3+2y/5=34
x/2=y/4
y=2x
sub x for y in 1st eq.
x/3+4x/5=34
lcd:15
5x+12x=34*15=510
x=102
y=2x=204
smaller of two numbers=102
larger of two numbers=204