Question

three consecutive integers are such that when they are taken in increasing order and multiplied by 3,4 and 5 respectively, they add up to 86 .find the number
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Answer 1

Answer:

8,9,10

Step-by-step explanation:

3(x)+4(x+1)+5(x+2)=86

3x+4x+4+5x+10=86

12x+14=86

12x=86-14

12x=72

x=72/12=8

Answer 2

Answer:

The numbers are 6,7 and 8.

Step-by-step explanation:

Given:

The numbers are - Consecutive

First number - multiplied by 3

Second by - 4

Third - 5

Their sum - 86

To find :

The numbers

Solution :

Let the three consecutive integers be =

x, x+1, x+2

According to question :

⇒ 3x + 4 (x+1) + 5 (x+2) = 86

⇒ 3x + 4x + 4 + 5x + 10 = 86

⇒ 12x + 14 = 86

⇒ 12x = 86 - 14

⇒ 12x = 72

⇒ x = 6

First no. = 6

Second no. = (x + 1) = 6 + 1 = 7

Third no. = (x + 2) = 6 + 2 = 8