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3 years ago

The sum of two numbers is 22. The difference is 6. What are the two numbers?

Mathematics

2 answers:

algol [13]3 years ago

7 0

Answer:

Numbers are 14 and 8

Step-by-step explanation:

Let the 2 numbers be x and y.

Write 2 equations:

x + y = 22

x - y = 6

Solve by substitution:

x - y = 6

x = y + 6

Plug into the other equation:

(y + 6) + y = 22

2y + 6 = 22

2y = 16

y = 8

Plug into either equation:

x + 8 = 22

x = 14

Numbers are 14 and 8

harkovskaia [24]3 years ago

4 0

Answer:

14 and 8

Step-by-step explanation:

x and 22-x (x+22-x=22)

22-x-x=6

22-2x=6

22-6=2x

16=2x

x=8

22-8=14

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3 years ago

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Step-by-step explanation:

The given equations are

$2x-5y=14$ .... (1)

$x+\frac{3}{2}y=5$ .... (2)

Multiply the equation (2) by 2.

$2x+3y=10$ .... (3)

Subtract equation (1) from equation (3).

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3 years ago

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4 years ago

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allochka39001 [22]

Answer:

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Step-by-step explanation:

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