The sum of two numbers is 33. The sum of 5 times the larger and 6 times the smaller is 173. Find the numbers.

Answer 1

two numbers x + y = 33

5x+6y = 173 (given that x>y)

33-y = x (solve the simpler equation for one variable x or y... in this case we have solved for x)

5(33-y) + 6y = 173 (plug the solution into second equation and solve for the 2nd variable)

165-5y+6y=173

y=8

x+8=33 --> x=25 (plug the solution into one of the equation and solve for remaining variable)

answer x=25, y=8 (meets condition that x>y)

Answer 2

x represents the larger number

33 - x represents the smaller number

5x + 6(33 - x) = 173

Can you solve for x and answer?