Question

The difference between two numbers is 100. The smaller of the two numbers is decreased by 10 and the larger one is increased by 20. What will the NEW difference be?

Answer 1

Let the 2 numbers be a and b

a - b = 100

Smaller number is decreased by 10

b becomes b - 10

Bigger number is increased by 20

a becomes a + 20

New difference

a + 20 - ( b - 10 )

= a + 20 - b + 10

= a - b + 30

But a - b = 100

==> a - b + 30

==> 100 + 30

==> 130

The value will be 130

Hope it helps :-)

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Answer 2

Answer : 130

Let, the two numbers are a and b

Given that :

The difference between two numbers is 100.

According to the question : a–b = 100....(1)

Also given that : The smaller of the two numbers is decreased by 10, then

b–10

and the larger one is increased by 20, then

a+20

Now, their difference will be :

(a+20) – (b–10)

=> a–b +20+10

=> (a–b)+30

=> 100+30 from equation (1) a-b = 100

=> 130

So, their new difference will be 130