Question

exceeds the other by 3, find the
Sum of three consecutive integers is 24. Find the integers.
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Answer 1

Answer:

Step-by-step explanation:

So, the three consecutive integers whose sum is 24 are 7, 8 and 9.

Answer 2

Correct Question:-

Sum of three consecutive integers is 24. Find the integers.

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Given:-

• Sum of three consecutive integers is 24.

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To Find:-

• Find the integers.

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Concept:-

• Let's go through the concept first.Form an equation by taking unknown consecutive integers and given values.equate it and solve it.Let's do it.

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Solution:-

Given that,

Sum of three consecutive integers is 24.

Let three consecutive integers be x,x + l and x + 2.

According to the question we have,

⟹ x + (x + 1) + (x + 2) = 24

⟹ (2x + x) + (2 + 1) = 24

⟹ 3x + 3 = 24

⟹ 3x = 24 - 3

⟹ 3x = 21

⟹ x = 21/3

⟹ x = 7

Hence,

The first integer is 7.

Substitute the value of x in the integers we had taken

For x + 1,

⟹ x + 1

⟹ 7 + 1

⟹ 8

Hence,

The second integer is 8.

For x + 2,

⟹ x + 2

⟹ 7 + 2

⟹ 9

Hence,

The third integer is 8.

Therefore,

The three consecutive integers are 7,8 and 9.

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Verification:-

x + (x + 1) + (x + 2) = 24

x = 7

⟹ x + (x + 1) + (x + 2) = 24

⟹ 7 + (7 + 1) + (7 + 2) = 74

⟹ 7 + 8 + 9 = 24

⟹ 24 = 24

⟹ LHS = RHS

Hence,

It is verified.

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