Question

One number is 8 more than the other. When the larger is divided by the smaller, the quotient is 7/5

Answer 1

The numbers are 20 and 28

Explanation:

x - the other number (the smaller one)

x+8 - 8 more than the other number (the larger number)

`\frac{x+8}x=\frac75\\\\(x+8)\cdot5=x\cdot7\\\\5x+40=7x\\^(\quad-40\qquad-40)\\{}\quad5x = 7x-40\\^(\quad-7x\quad-7x)\\-2x=-40\\^(/(-2)\quad/(-2))\\{}\ \ x=20\\\\x+8=28`