Question

Linear Equations
Exercise 2.2

Question 8: 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.

Answer 1

heYA 

let the three consecutive integers be  and 

According to the question, 

 

 

 

[Subtracting 11 from both sides]

 

 

[Dividing both sides by 9]

 

Hence first integer = 7, second integer

= 7 + 1 = 8 and third integer = 7 + 2 = 9.

Answer 2

HELLO
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LET THE 1st INTEGER BE X
                2nd                BE X+1
                 3rd                BE X+ 2 
2X+3X+3+4X+8=74
9X+11 = 74
9X+63
X+7
SO THE NO.S ARE 7,8,9