Question

the sum of two numbers 18 and their difference is 4. what are the two numbers?

Answer 1

They are 7 and 11. 11 + 7 = 18, 11 - 7 = 4.

Answer 2

The values of a and b in the expression given are 11 and 7 respectively

Let the numbers be : a and b

The sum of the numbers equals 18 :

• a + b = 18 - - - (1)

The difference of the numbers equal 4 :

• a - b = 4 - - - (2)

From (1):

• a = 18 - b - - - (3)

Substitute the value of a in (3) into (2)

18 - b - b = 4

Collect like terms

18 - 2b = 4

-2b = 4 - 18

-2b = - 14

b = 14 / 2

b = 7

From (3)

• a = 18 - 7 = 11

Therefore, the values of a and b are 11 and 7 respectively

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