Question

three consecutive integers are such that when they are taken in increasing order multiplied by 2,3and4 respectively, thy add up to 74. find this number?​

Answer 1

Answer:

you can take the help of your book example

Answer 2

Answer:

Numbers are 7 8 9

Step-by-step explanation:

Consecutive numbers are numbers that follow each other in order. They have a difference of 1 between every two numbers.

Let the smallest of consecutive integer be n,

Therefore, other two consecutive integers are to be n + 1 and n + 2 in increasing order

Now multiplying these three consecutive numbers with 2, 3, and 4 respectively. They become

2 (n), 3 (n + 1) and 4 (n + 2)

These add up to 74, means

2 (n) + 3 (n + 1) + 4 (n + 2) = 74

2n + 3n + 3 + 4n + 8 = 74

9n + 11 = 74

9n = 74 - 11

9n = 63

n = 63/9

n = 7

The smallest consecutive Integer is 7, therefore other two consecutive integers are:

7 + 1 = 8

7 + 2 = 9