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
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Answer:
Let 1 integer = X
let second integer = X+1
let 3rd integer = X+2
now ...if 1st integer= 2x
2nd integer= 3(X+1)
3rd integer= 4(X+2)
their sum = 74
according to question...
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
X= 7
so.. 1st no. = 7
2nd no. 7+1= 8
3rd no. = 7+2= 9
hope it helps..
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