Question

Two numbers differ by 3. The sum of the greater number and twice the smaller number is 15. Find the small number.​

Answer 1

Answer:

smaller number is 4 and greater number is 7

Step-by-step explanation:

consider the smaller number to be x

smaller no.=x

grater number =x+3

greater number + 2(smaller number)=15

x+3 + 2(x) = 15

x+3+2x=15

3x+3=15

3x= 15-3

3x = 12

x=12

3

x=4

smaller number=x

=4

greater number= x+ 3

=4+3 = 7 answer

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Answer 2

Given:-

• Two numbers differ by 3.
• The sum of the greater number and twice the smaller number is 15.

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To find:-

• The smaller number.

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Solution:-

★ In this question we have given the two numbers differ by 3 and the sum of the greater number and twice the smaller number is 15. We have to find out the smaller number. Let's do it.

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Let,

• the greater number be x.
• the smaller number be y.

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According to the question,

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★ By the first condition,

⇢ x - y = 3⠀⠀⠀....[1]

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★ By the second condition,

⇢ x + 2y = 15⠀⠀....[2]

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★ Multiply equation [1] with [2],

⇢ 2x - 2y = 6⠀⠀....[3]

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★ Adding equation [3] and [2],

⇢ 2x - 2y = 6

⇢ x + 2y = 15

⇢ 3x = 21

⇢ x = 21/3

⇢ x = 7

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★ Substituting x = 7 in equation [2],

⇢ x + 2y = 15

⇢ 7 + 2y = 15

⇢ 2y = 15 - 7

⇢ 2y = 8

⇢ y = 8/2

⇢ y = 4

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Hence,

• The smaller number is 4.