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The sum of two numbers is 28. One of the numbers is 8 more than the other. Find the numbers

Sagot :

Answer:

The numbers are 18 and 10.

Step-by-step explanation:

Equation:

a + b = 28;  and  a = b + 8

Solution:

Step 1: Solving for b

a + b = 28

(b + 8) + b = 28

2b + 8 = 28

2b/2 + 8/2 = 28/2

b + 4 = 14

b + 4 + (-4) = 14 + (-4)

b = 10;

Step 2: Solving for a

a + 10 = 28

a + 10 + (-10) = 28 + (-10)

a = 18

Step 3: Checking by substituting

18 + 10 = 28

28 = 28 (TRUE)