SOLUTION: The sum of two numbers is 50 The smaller number is 22 less than the larger number. What are the numbers?

Algebra.Com
Question 1151574: The sum of two numbers is
50 The smaller number is
22 less than the larger number. What are the numbers?

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

x = smaller number
y = larger number

x = y-22 since "The smaller number is 22 less than the larger number"

x+y = 50 because it says "The sum of two numbers is 50"

x+y = 50
y-22+y = 50 ... replace x with y-22
2y-22 = 50
2y-22+22 = 50+22 ... add 22 to both sides
2y = 72
2y/2 = 72/2 ... divide both sides by 2
y = 36

x = y-22
x = 36-22 ... plug in y = 36
x = 14

The two numbers are 14 and 36.

RELATED QUESTIONS

the sum of two numbers is 62. the smaller number is 22 less than the larger number. what... (answered by stanbon)
The sum of two numbers is 52 the smaller number is 22 less than the larger number what... (answered by ikleyn)
The sum of two numbers is 61 . The smaller number is 23 less than the larger number. What (answered by Solver92311)
The sum of two numbers is 50 . The smaller number is 10 less than the larger number. What (answered by user_dude2008)
The sum of two numbers is 50. The smaller number is 18 less than the larger number. What... (answered by stanbon)
The sum of two numbers is 50. The larger exceeds the smaller by 22. What is the larger... (answered by JulietG)
the sum of two numbers is 56. the smaller is 8 less than the larger number. what are the... (answered by rothauserc)
The sum of two numbers is 50 . The larger number is 10 more than the smaller number. What (answered by nerdybill)
the sum of two numbers is 50 the larger number is 4 less than twice the smaller find the... (answered by jpvn2015)