Math, asked by ireneannshiju, 6 months ago

the sum of three consecutive multiple of 7 is 252 the smallest multiple among them is​

Answers

Answered by DevyaniKhushi
3

Let the 1st multiple of 7 (here) be x

then, the 2nd multiple will be x+7

And, the 3rd multiple will be x+14

A/Q :

 =  > x + x + 7 + x + 14 = 252 \\  =  >  \:  \:  \:  \:  \: 3x + 21 = 252 \\  =  > \:  \:  \:  \:  \: \:  \:  \:  \: 3x = 252 - 21 \\  =  > \:  \:  \:  \:  \: \:  \:  \:  \:3x = 231 \\  \\  =  > \:  \:  \:  \:  \: \:  \:  \:  \: \frac{3x}{3}  =  \frac{231}{3}  \\  \\  =  >\:  \:  \:  \:  \: \:  \:  \:  \: x = 77

So,

  • 1st Multiple = 77
  • 2nd Multiple = 84
  • 3rd Multiple = 91

Hence,

  • Smallest of the multiple is 77
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