Question

The difference between two numbers is 6, and 5 times the smaller number is 3 times the larger number. Find the smaller number.

Answer 1

Answer: 9

Explanation:

45/3=15

45/5=9

15-9=6

Large Number=15

Small Number=9

Answer 2

9514 1404 393

Answer:

9

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.