Three consecutive integers are such that when they are taken in increasing order and multiplied by 2,3and 4, respectivly they - Maths - Linear Equations in One Variable

Question

Three consecutive integers are such that when they are taken in
increasing order and multiplied by 2,3and 4, respectivly they add
up to 74 find these numbers?

Google Me · Accepted Answer

Let the consecutive no s be x, (x+1) and (x+2)
Multiplying it by 2, 3 and 4 respectively, we get,
2(x) = 2x
3(x+1) =3x +3
4(x+2) = 4x + 8
Forming the equation, we get,
2x+ 3x+3 + 4x +8 = 74(As the consecutive no s add up to 74)
9x + 11 = 74
9x = 74 -11
9x = 63
x = 63/9 = 7
x =7
Therefore the no s are 7(x), 8(x+1) and 9(x+2)
Hope this helps!!!!!!

Three consecutive integers are such that when they are taken in increasing order and multiplied by 2,3and 4, respectivly they add up to 74. find these numbers?