Question

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 84 find these numbers plz give answer with verification tomorrow is my test plz do fast give answer

Answer 1

Let the 3 consecutive numbers be x-1, x, x+1.

then when we multiply them in increasing order by 2, 3, and 4, we get the expression 2(x-1) + 3x + 4(x+1)

And it is given that our algebraic expression is equal to 84.

2(x-1) + 3x + 4(x+1) = 84

Expanding we get,

2x-2 + 3x + 4x +4 = 84

9x + 2 = 84

9x = 82

but, 82 is not divisible by 9 without a remainder, so I think your question is wrong. but if the numerical value is 83 = 9x+2, we get

9x +2 = 83

9x = 81

x =9

So IF your question says 83 instead of 84, your answer is 8,9,10