Question

The difference between 2 numbers is 52. The sum of one-fourth the larger number and twice of the smaller number is 85. Find the 2 numbers, and show your work

Answer 1

$x\ \textless \ y\\\\ y-x=52\\ \dfrac{y}{4}+2x=85\\\\ y=52+x\\ y+8x=340\\\\52+x+8x=340\\ 9x=288\\ x=32\\\\ y-32=52\\ y=84$

32 and 84