SOLUTION: one number is five more than four times another. Their sum is 35. Find the two numbers.

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Question 505066: one number is five more than four times another. Their sum is 35. Find the two numbers.
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
x & y are two numbers.
.
x = 4y + 5
x - 5 = 4y
.
x + y = 35
so
y = 35-x
.
substitute
.
4y = 4(35-x)
4y = x-5
so
x-5 = 4(35 -x)
x-5 = 140 -4x
5x = 145
x = 29
.
y = 35-x
y = 35-29
y = 6
.
Check the solution before accepting it.
.
Does x = 4y + 5?
x = 29
y = 6, so 4(6)+5 = 24+5 = 29
Correct.
.
Answer: The two numbers are 6 and 29.
.
Done.