Question

Three consecutive integers are such that when they are taken in increasing order and multiplyied be 2,3 and 4 respectively they add up to 254 .Find these numbers

Answer 1

Answer

Given,

• Sum of consecutive integers taken in increasing order when multiplied by 2,3,4 respectively they add up to 254

To find,

• Consecutive integers

Solution ,

Let us see some consecutive integers :

• 2,3,4
• 7,8,9
• -5,-4,-3

What do we find similar in all the above examples.

• 2 , 2+1 , 2+2
• 7 , 7+1 , 7+2
• -5 , -5+1 , -5+2

We got that if 'x' is an integer then its successive consecutive integer will be 'x+1' and further on 'x+2' .

So,

Let three consecutive integers be

• x
• x + 1
• x + 2

Multiplying them by 2,3,4 respectively

We get,

• 2x
• 3x + 3
• 4x + 8

According to the question :

៚ 2x + 3x + 3 + 4x + 8 = 254

៚ 9x + 11 = 254

៚ 9x = 243

៚ x = 27

៚ x + 1 = 28

៚ x + 2 = 29

Hence the integers will be

• 27
• 28
• 29

Answer 2

Answer:

27 ;28;29

Step-by-step explanation:

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