Question

three consecutive integers are such that when they are taken in increasing order and multiplied by2,3 and4 respectively,they add up to 74. find these numbers​

Answer 1

$let \: \: the \: \: numbers \: \:be \: \: \\ x - 1\: \:and \: \: x \: \: and \: \: x + 1 \\ 2( x - 1) + 3x + 4(x + 1) = 74 \\ = > 2x - 2 + 3x + 4x + 4 = 74 \\ = > 9x + 2 = 74 \\ = > 9x = 74 - 2 \\ = > 9x = 72 \\ = > x = 8 \\ = > (x - 1 )= 7 \\ = > (x + 1) = 9 \\ therefore \: \: the \: \: numbers \: \: are \: \: \\ 7 \: \: and \: \: 8 \: \: and \: \: 9.$
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