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3 years ago

The difference of two numbers is 15.Five times the smaller is the same as 9 less than twice the larger.Find the numbers

Mathematics

1 answer:

Lana71 [14]3 years ago

8 0

Answer:

small number = -3

large number = 12

Step-by-step explanation:

Suppose two numbers are x and y

smaller number = x

larger number = y

Given that,

The difference of two numbers is 15

<h2>Equation 1</h2><h3>y - x = 15</h3>

Five times the smaller is the same as 9 less than twice the larger.

<h2>Equation 2</h2><h3>5x = 9 - 2y</h3>

Solve them

-x = 15 - y

x = y -15

put value of x in equation 2

5(y - 15) = 9 - 2y

-75 + 5y = 9 - 2y

-75 - 9 = -2y - 5y

-84 = -7y

y = 84/7

y = 12

x = 12 - 15

x = -3

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