Three consecutive integers are such that when they are taken in increasing order and multiplied by 2, 3 and 4 respectively, they add up to 74. Find these numbers

Solution:

Let the first integer be x.

Next two consecutive integers are x + 1 and x + 2

They are taken in increasing order and multiplied by 2, 3, and 4 respectively.

(x) × (2) = 2x

(x + 1) × 3 = 3x + 3

(x + 2) × 4 = 4x + 8

These 3 integers add up to 74,

⇒ 2x + 3x + 3 + 4x + 8 = 74

⇒ 9x + 11 = 74

⇒ 9x = 74 - 11

⇒ 9x = 63

⇒ x = 63/9 = 7

⇒ x + 1 = 8, x + 2 = 9

Thus, the three integeres are 7, 8 and 9

☛ Check: NCERT Solutions for Class 8 Maths Chapter 2

Video Solution:

Three consecutive integers are such that when they are taken in increasing order and multiplied by 2, 3 and 4 respectively, they add up to 74. Find these numbers

NCERT Solutions Class 8 Maths Chapter 2 Exercise 2.2 Question 8

Summary:

Three consecutive integers are such that when taken in increasing order and multiplied by 2, 3, and 4 is summed to 74. The integers are 7, 8, and 9.

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