SOLUTION: The sum of two numbers is 100. If one number is four times the other find the numbers?

Question 935505: The sum of two numbers is 100. If one number is four times the other find the numbers?
Found 2 solutions by Fombitz, Horlaye:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

.
.

Substituting,

Then,

Answer by Horlaye(27) (Show Source): You can put this solution on YOUR website!
Let the two numbers be a and b respectively
From the 1st sentence
a+b = 100.......(1)
From the 2nd sentence
a = 4(b)
a = 4b
a-4b = 0...........(2)
Eliminate equation (2) from equation (1)
5b = 100
b = 100/5
b = 20
Substitute b = 20 in equation (2)
a-4b = 0
a-4(20) = 0
a-80 = 0
a = 80
Since a and b represented the two numbers
Therefore the numbers are 80 and 20
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