SOLUTION: The sum of two numbers is 100. Five times the smaller number is eight more than the larger. Find the numbers.

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Question 2316: The sum of two numbers is 100. Five times the smaller number is eight more than the larger. Find the numbers.
Answer by gsmani_iyer(178) About Me  (Show Source):
You can put this solution on YOUR website!
Let the smaller number = x
Let the bigger number = y
Now, we will make equations.
x + y = 100 ..... (Sum of the numbers)
5x - y = 8 (Five times the smaller no. is 8 more than the bigger no.)
By adding the above equations, we get
6x = 108
So x = 108%2F6 = 18
By substituting the value of x in the first equation, we get
18 + y = 100
So y = 100-18 = 82
So the smaller No. = 18
the bigger No. = 82 Ans.