Question

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

Answer 1

Answer:

         The numbers are 20 and 28

Step-by-step explanation:

x  - the other number  (the smaller one)

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

 

$\dfrac{x+8}x=\dfrac75\\\\(x+8)\cdot5=x\cdot7\\\\5x+40=7x\\^{\quad-40\qquad-40}\\{}\quad5x = 7x-40\\^{\quad-7x\quad-7x}\\-2x=-40\\^{\div(-2)\quad\div(-2)}\\{}\ \ x=20\\\\x+8=28$