SOLUTION: the sum of two numbers is 56. the smaller is 8 less than the larger number. what are the numbers?

Algebra.Com
Question 1092237: the sum of two numbers is 56. the smaller is 8 less than the larger number. what are the numbers?
Answer by rothauserc(4718)   (Show Source): You can put this solution on YOUR website!
let x be the smaller number
:
1) x + y = 56
:
2) x = y - 8
:
use equation 2) to substitute for x in equation 1)
:
y - 8 + y = 56
2y = 64
:
y = 32
x = 32 - 8 = 24
:
***************************
x = 24 and y = 32
***************************
:

RELATED QUESTIONS

The sum of two numbers is 56. The larger number is 14 more than the smaller number. What (answered by ewatrrr)
The sum of two numbers is 56 . The smaller number is 16 less than the larger number. What (answered by nyc_function,checkley77)
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 68. The smaller number is 8 less than the larger number. What... (answered by rfer)
The sum of two numbers is 36 . The smaller number is 8 less than the larger... (answered by ikleyn)
The sum of two numbers is 52 . The smaller number 8 is less than the larger number. What... (answered by josgarithmetic,Alan3354)
The difference of two numbers is 18. Twice the smaller number is 56 less than three time... (answered by checkley71)
The larger of two numbers is 14 less than four times the smaller number. The sum of the... (answered by dfrazzetto,mananth)
The sum of two numbers is 56. The larger number is 7 less than 3 times the smaller... (answered by checkley79)