Question

One of the numbers increased by 10. How did the average of the two numbers change?

Answer 1

Answer:

Increases by 5

Step-by-step explanation:

Let the two numbers be x and y.

Mean = (x+y)/2 _____(i)

Now, one of the numbers is increased by 10

New mean = [x +(y+10)]/2

which gives us (x + y + 10)/2

It can be written as (x + y)/2 + 10/2

which gives us (x + y)/2 +5 __________(ii)

Using (i) and (ii)

new mean = original mean + 5

Hope it helps

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Answer 2

Answer:

Let the numbers be a and b

average of a and b =a+b/2

let the new number be a+10

new average =a+10+b/2.

change =(a+b+10)/2 -(a+b)/2

=5

therefore the average increases by 5