Question

Q4.
three consecutive intergers are such that they are taken in increasing order and Mulplied by 2, 3 and 4 respectively they add .upto 74.find the number​

Answer 1

Answer:

Integers are : 7 , 8 and 9.

Step-by-step explanation:

Let the numbers are x, x+1 and x+2

(Since these are consecutive integers)

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

So x becomes 2x

(x+1) becomes 3(x+1)

(x+2) becomes 4(x+2)

they add up to 74, so ATQ,

So,

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

=> 2x + 3x + 3 + 4x + 8 = 74

=> 9x + 11 = 74

=> 9x = 74 - 11

=> 9x = 63

=> x = 63/9 = 7

Hence, x = 7.

Now the integers are :

x = 7

x + 1 = 8

x + 2 = 9

Thus, integers are : 7 , 8 and 9.

Verification:

2 × 7 + 3 × 8 + 4 × 9 = 14 + 24 + 36 = 74

Hence, verified.

Hence the calculated integers are absolutely correct.