SOLUTION: What is, "The sum of two integers is thirty-eight. Nine times the smaller integer is 23 more than 2 times the larger integer. Find the integers."

Question 265078: What is, "The sum of two integers is thirty-eight. Nine times the smaller integer is 23 more than 2 times the larger integer. Find the integers."

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Let x & y be the two integers, (x is the smaller)
:
write an equation for each statement:
:
"The sum of two integers is thirty-eight.
x + y = 38
y = (38-x), use this for substitution
:
"Nine times the smaller integer is 23 more than 2 times the larger integer."
9x = 2y + 23
:
Find the integers
replace y in the above equation with (38-x)
9x = 2(38-x) + 23
9x = 76 - 2x + 23
9x + 2x = 76 + 23
11x = 99
x =
x = 9
:
I'll let you find y, check solutions in the 2nd equation
RELATED QUESTIONS
The sum of two integers is thirty-two. Eight times the smaller integer is twenty-six more (answered by CubeyThePenguin)

The sum of two integers is thirty. Eight times the smaller integer is six more than five (answered by gsmani_iyer)

The sum of two integers is twenty-nine. Eight times the smaller integer is eleven more... (answered by richwmiller)

Could you show me the steps you take to solve: The sum of two integers is thirty. Eight... (answered by stanbon,nerdybill)

I need to know how to set up this word problem...... The sum of two integers is... (answered by solver91311)

The sum of two integers is twenty-two. Eight times the smaller integer is fifty-six more... (answered by josmiceli)

The sum of two integers is eighteen. Eight times the smaller integer is twenty-four more... (answered by oberobic)

The sum of two integers is sixteen. Five tiems the smaller integer is eight more than... (answered by lwsshak3)

what is this answer The sum of two integers is thirty-one. Six times the smaller integer (answered by ewatrrr)