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Milshane says can you guess what are the sum numbers i am thinking of thier sum is 20 and thier difference is 4 what are the mumbers that milshane thinking of​

Sagot :

Answer:

12 and 8

Step-by-step explanation:

SOLUTION:

Let:

x = first number

y = second number

The sum of the two numbers is 20

x + y = 20 (Equation 1)

The difference of the two numbers is 4

x - y = 4 (Equation 2)

Two equations two unknowns

Using substitution method:

in equation 2, isolate x

x - y = 4

x = 4 + y (Equation 3)

Substitute equation 3 in equation 1

x + y = 20

(4 + y) + y = 20

Simplify and solve for y

4 + 2y = 20

2y = 20 - 4

2y = 16

y = 16/2

y = 8

Substitute the value of y in equation 3

x = 4 + y

x = 4 + 8

x = 12

CHECKING:

For equation 1:

x + y = 20

12 + 8 = 20

20 = 20 ✓

For equation 2:

x - y = 4

12 - 8 = 4

4 = 4 ✓

Therefore, the two numbers are 12 and 8 (ANSWER)