Question

The sum of 2 numbers is 50. The sum of 1/4 of the first number and 2/3 of the second number is 25.What are the numbers?

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Answer 1

First number: 20

Second number: 30

Explanation:

First#: x

Second#: y

Constraints:

x + y = 50

1/4x + 2/3y = 25

Isolate variable y:

x + y = 50

-1/4 (x + y = 50 )

-1/4x - 1/4y = -12.5

Add equations the two equations to eliminate x:

-1/4x - 1/4y = -12.5

1/4x + 2/3y = 25

_________________

5/12y = 12.5

5y = 150

y = 30

Substitution to find x:

x + y = 50

x + 30 = 50

x = 20