Math, asked by Sidhi38251, 2 months ago

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.

Answers

Answered by XxSonaxX
108

Answer:

\huge\red{\mid{\fbox{\tt{\: Question:-}}\mid}}

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.

\huge\orange{\mid{\fbox{\tt{ Answer:- }}\mid}}

\huge\mathbb\green{Solution:-}

Let the three consecutive integers be  n n+1,n+2 respectively.

According to the problem,

2n \: + \: 3 \: (n+1) \: + \: 4 \: (n+2) \: = \: 74

 =  >  9n \: + \: 11 \: = \: 74

 =  >  \: 9n \: = \: 63

 =  >  \: n \: = \: 7

\huge\mathbb\green{So \:  the \:  numbers  \: are \:  7, \: 8, \: 9.}

Answered by TheDivaQueen
36

Answer:

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