9514 1404 393
Answer:
9
Step-by-step explanation:
Let x and y represent the two numbers, with y being the smaller.
x - y = 6 . . . . . . difference is 6
3x = 5y . . . . . . . 3 times the larger is 5 times the smaller
Use the first equation to write an expression to substitute for x:
x = y + 6
3(y +6) = 5y
18 = 2y . . . . . . .subtract 3y and collect terms
9 = y
The smaller number is 9.
