The average of two numbers is 62. If 2 is added to the smaller number

Question

The average of two numbers is 62. If 2 is added to the smaller number, the ratio between the numbers becomes 1:2. What is the value of the smaller number ?

(A) 30
(B) 40
(C) 50 
(D) 60 
(E) 84

Himmatecho · Answer

B
x+y=124
x=2(y+2)
Solving
y=40

Posted from my mobile device

vijayram24 · Answer

Sum of numbers = 124
x+y =124
2x+4=y
x=40

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sj296 · Answer

Let's say smaller number is x 
and larger number is y

=>  \frac{(x+y)}{2}  = 62

=> x+y = 124....................(1)

=>  \frac{(x+2)}{y} = \frac{1}{2}

=> 2(x+2) = y ..................(2)

after solving the two equations

x = 40

So the smaller number is 40

OA should be B

PolarisTestPrep · Answer

Hey guys,

This calls for an equation

Let's say x is the smaller number and y is the larger number

We are told their average is 62 so:

\frac{(x + y)}{2} = 62

x + y = 124

We are also told that if 2 is added to the smaller number, the ratio of the two numbers becomes 1:2

In our world, that means that y is two times greater than x + 2 :

2(x+2) = y

2x + 4 = y

Substitute for y into the first equation:

x + (2x + 4) = 124

3x + 4 = 124

3x = 120

x = 40

The smaller number is 40

The answer is B

The average of two numbers is 62. If 2 is added to the smaller number

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The average of two numbers is 62. If 2 is added to the smaller number

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