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2 years ago

The difference between two numbers is 9. The first number plus twice the other number is 27. Find the two numbers.

Mathematics

1 answer:

Dovator [93]2 years ago

3 0

The two numbers are 15 and 6

<em><u>Solution:</u></em>

Let the two number be "a" and "b"

Let the first number be "a" and second number be "b"

Given that,

<em><u>The difference between two numbers is 9</u></em>

a - b = 9 -------- eqn 1

<em><u>The first number plus twice the other number is 27</u></em>

First number + twice the second number = 27

a + 2b = 27 ---------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

From eqn 1,

a = 9 + b ------ eqn 3

<em><u>Substitute eqn 3 in eqn 2</u></em>

9 + b + 2b = 27

3b = 27 - 9

3b = 18

Divide both sides of equation by 3

<em><u>Substitute b = 6 in eqn 3</u></em>

a = 9 + 6

Thus the two numbers are 15 and 6

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<h2>Hello!</h2>

The answer is:

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We can find the midpoint of the segment with the given endpoints using the following formula.

The midpoint of a segment is given by:

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We are given the points:

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$x-coordinate=2\\y-coordinate=6$

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