SOLUTION: The sum of two numbers is 277. Four times the smaller number plus thirty-two is the larger number. What are the two numbers?

Algebra.Com
Question 898071: The sum of two numbers is 277. Four times the smaller number plus thirty-two is the larger number. What are the two numbers?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
The sum of two numbers is 277. Four times the smaller number plus thirty-two is the larger number. What are the two numbers?
----
Equations:
x + y = 277
4x + 32 = y
--------------------
Substitute for "y" and solve for "x"::
x + 4x + 32 = 277
5x = 245
x = 49
-----
Solve for "y":
y = 4x + 32
x = 4*49 + 32 = 228
=====================
Cheers,
Stan H.
--------------------

RELATED QUESTIONS

Thirty-one times the sum of two numbers is 2,790. The larger number is five times the... (answered by FearlessSG13)
the larger of two numbers is nine more four times the smaller number. the sum of the two... (answered by jorel1380)
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 141. If four times the smaller number is subtracted from the... (answered by onlinepsa)
the sum of two numbers is 120. if the larger number is four times the smaller number,... (answered by gsmani_iyer)
the difference between two numbers is 15. four times the smaller number plus twice the... (answered by whenindoubt)
The sum of two numbers is 12. Four times the smaller number is two less than the larger.... (answered by hamsanash1981@gmail.com)
the sum of two numbers is 6. five times the larger number plus four times the smaller... (answered by josgarithmetic)
the sum of two numbers is thirty. Three times the smaller number is twice the larger... (answered by Fombitz,booklover15)