The larger of 2 numbers is 5 less than 5 times the smaller number. The sum of the two numbers is 61. What are the two numbers?

2k1ablakrh0 2022-09-23 Answered
The larger of 2 numbers is 5 less than 5 times the smaller number. The sum of the two numbers is 61. What are the two numbers?
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Answers (1)

June Rowland
Answered 2022-09-24 Author has 6 answers
Let the larger number be x and smaller number be y.
As per the question we get :
5 y - 5 = x and x + y = 61
Substituting the value of x, that is 5y -5 from the first equation to the second equation - x + y = 61 , we get :
5 y - 5 + y = 61
6 y - 5 = 61
6 y = 61 + 5
6 y = 66
y = 66 6
y = 11
Now substituting this value in the equation x+y=61, we get :
x + 11 = 61
x = 61 - 11 = 50
Hence the two numbers are 50 and 11 .
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