Question

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

Answer 1

Choice B is correct answer.

Explanation:

Let S = the smaller number and L = the larger number

We have given that

The sum of two numbers is 95.

S+L = 95

If the larger number is increased by twice of the smaller number,

L+2S

The result is 120.

L+2S = 120

Hence, S+L = 95 and 2S+L = 120 are correct system of equations.

Answer 2

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

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

The answer is the middle choice.