The sum of two numbers is 95. if the larger number is increased by twice the smaller number, the result is 120. what is the larger number?

if s = the smaller number and l = the larger number, then which of the following systems of equations represents the word problem?

s + l = 95 and s + 2l = 120
s + l = 95 and 2s + l = 120
s + l = 95 and 2(s + l) = 120

Step-by-step explanation:

Givens

x = the larger number

y = the smaller number

Equations

x+y =95

x + 2y = 120

Solution

x+y =95

x + 2y = 120

x + y = 95                   Subtract

y = 25

x + y = 95

x + 25 = 95

x + 25 -25 = 95 - 25

x = 70

I did the problem before I realized that I could have stopped after equations.

The answer is the middle choice.

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