three consecutive integers are such that when they are taken in increasing order and multiplied by 2 , 3 and 4 they add up to 74 find these this numbers
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Answered by
2
let the three consecutive integers are ,x , x + 1 , and x + 2
according to question ,
2(x ) + 3 ( x + 1 ) + 4 ( x + 2) = 74
2x + 3x + 3 + 4x + 8 = 74
9x = 74 - 11
9x = 63
x = 7
hence, these three consecutive integers are
x = 7
x + 1 = 7 + 1 = 8
x + 2 = 7 + 2 = 9
according to question ,
2(x ) + 3 ( x + 1 ) + 4 ( x + 2) = 74
2x + 3x + 3 + 4x + 8 = 74
9x = 74 - 11
9x = 63
x = 7
hence, these three consecutive integers are
x = 7
x + 1 = 7 + 1 = 8
x + 2 = 7 + 2 = 9
Answered by
1
Here is your Answer
Let the First Number be x
∴ As per Question
2x + 3x+3 + 4x + 8 = 74
9x + 11 = 74
9x = 63
x = 63/9
x = 7
First Number=x=7
Second Number=x+1=8
Third Number=x+2=9
Hope it Helps
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