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Nonamiya [84]
2 years ago
11

The sum of two numbers is 27. The larger number is 3 more than the smaller number. What are the two numbers?

Mathematics
1 answer:
pantera1 [17]2 years ago
7 0

The two numbers are 12 and 15

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

Let the smaller number be "x"

Let the larger number be "y"

Given that,

<em><u>The sum of two numbers is 27</u></em>

Therefore, we frame a equation as:

Smaller number + Larger number = 27

x + y = 27 ------ eqn 1

<em><u>The larger number is 3 more than the smaller number</u></em>

Larger number = 3 + smaller number

y = 3 + x ------- eqn 2

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

<em><u>Substitute eqn 2 in eqn 1</u></em>

x + 3 + x = 27

2x + 3 = 27

2x = 27 - 3

2x = 24

<h3>x = 12</h3>

<em><u>Substitute x = 12 in eqn 2</u></em>

y = 3 + 12

<h3>y = 15</h3>

Thus the two numbers are 12 and 15

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