three consecutive integers are such that when they are taken in increasing order and multiplied by 2,3and 4 respectively,they add up to 74.find these numbers.
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Answer:
7,8,9
Step-by-step explanation:
let (x-1), x , (x+1) be the 3 integers
given that,
2(x-1) + 3x + 4(x+1) = 74
=> 2x - 2 + 3x + 4x + 4 = 74
=> 9x + 2 = 74
=> 9x = 74-2
=> 9x = 72
=> x = 72/9
=> x = 8
=> the 3 integers are (8-1), 8 , (8+1)
=> 7,8,9
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Verification:
2(7) + 3(8) + 4(9) = 74
14+24+36 = 74
38+36 = 74
74 = 74
verified
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