SOLUTION: the sum of two numbers is 135. one-fourth the larger number is equal to two times the smaller number. what are the numbers? what are the equations?

Question 350614: the sum of two numbers is 135. one-fourth the larger number is equal to two times the smaller number. what are the numbers?
what are the equations?
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
Hi,
*Note: Let x represent the larger numbers. Then (135-x) would be the other.
.
Question states:
(1/4)x = 2(135-x)
.
Simplify and solve:
(1/4)x = 220-2x
2x + (1/4)x =270
.
(9/4)x = 270
.
Multiply both sides of the equation by (4/9)
x = 120
smaller number would be 15
.
check your answer:
30 = 2*(15)
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