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

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Question 505059: One number is five more than four times another. Their sum is 35. Find the two numbers.
Answer by Maths68(1474) About Me  (Show Source):
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Let
One number = x
Another number = y
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Given
One number is five more than four times another
x+5=4y
x-4y=-5………………(1)
Their sum is 35
x+y=35……………..(2)
Minus (2) from (1)
x-4y=-5………………(1)
-x-y=-35……………..(2)
-5y=-40
y=-40/-5
y=8
Put the value of y in (2)
x+y=35……………..(2)
x+8=35
x=35-8
x=27
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One number = x=27
Another number = y=8
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Check
Put the values of x and y in (1)
x-4y=-5………………(1)
27-4(8)=-5
27-32=-5
-5=-5
Put the values of x and y in (2)
x+y=35……………..(2)
8+27=35
35=35