Question

The sum of two numbers is 18 and their difference is 8

Answer 1

Answer:

Step-by-step explanation:

Let the 2 numbers be x and y.

So, x+y =18 and x-y=8.

So if we add them both,

x+y+x-y=18+8

∴2x=26

∴x=13

So,

x+y=18

∴13+y=18

∴y=5

Thus the 2 numbers are 13 and 5.

Answer 2

SOLUTION

GIVEN

• The sum of two numbers is 18

• Their difference is 8

TO DETERMINE

The numbers

EVALUATION

Let the numbers are x and y

By the condition 1

x + y = 18 - - - - - - - (1)

By the condition 2

x - y = 8 - - - - - - - - (2)

Equation 1 + Equation 2 gives

2x = 26

⇒ x = 13

From Equation 1 we get

y = 18 - 13 = 5

FINAL ANSWER

Hence the required numbers are 13 and 5

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