Math, asked by mahima4290, 9 months ago

plzz solve q.8 ............
plss​

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Answers

Answered by Anonymous
1

Answer:

4,5,6

Step-by-step explanation:

let  \: the \:  3 \:  no.s \:  be \:  x,  \: x+1, \: and \:  x+2 \\  \\ as \: per \: the \: question \\  \\  =  > x(x + 1) + x(x + 2) + (x + 1)(x + 2) +  = 74 \\  \\  =  >  {x}^{2}  + x +  {x}^{2}   + 2x + {x}^{2}  + 3x + 2 = 74 \\  \\  =  > 3{x}^{2}  + 6x = 72 \\  \\  =  >  {x}^{2}  +2 x - 24 = 0 \\  \\  =  > (x  + 6)(x - 4) = 0 \\  \\ =>x =  - 6 \: or \: x = 4  \\\\ therefore \: we \: take \: x = 4 \: \\  since \: x = -  6 \: is \: not \: a \: natural \: number\\  \\ the \: numbers \:  are \: 4, \: 5  \: and\: 6, \:  \:

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