Question

Select the pair of numbers that have:

a sum of 45 and a difference of 5.
a) 26 and 19
b) 25 and 20
c) 24 and 21
d) 26 and 21

Answer 1

The pair of numbers that has a sum of 45 and a difference of 5 is (B) 25 and 20.

Explanation:

26 + 19 = 45 and 26 - 19 = 3

25 + 20 = 45 and 25 - 20 = 5

24 + 21 = 45 and 24 - 21 = 3

26 + 21 = 47 and 26 - 21 = 5

Answer 2

Explanation:

It is possible to solve this problem without using algebra and equations.

One number is 7 more than the other, but they add to 25.

If you subtract the difference of 7 first, you will be left with the sum of two equal numbers.

25

−

7

=

18

18

÷

2

=

9

The one number is 9 and the other is 7 more than 9, so (9+7 = 16)

The numbers are 9 and 16.

Check: 9+16 = 25#