The sum of 2 numbers is 61. The greater number is 9 more than the smaller number. Write and solve an equation to find the 2 numbers.

X + y = 61

x = y + 9

Substitute y + 9 in for x in the first equation and then solve.

y + 9 + y = 61

Combine like terms

2y + 9 = 61

Subtract 9 from both sides

2y = 52

Divide both sides by 2

y = 26

y + 9 = 35

26 and 35