Math, asked by mohitmohit91505, 6 months ago

The sum of three consecutive multiples of 3 is 45 find the three number

Answers

Answered by bhoomikasanjeev2009
5

Answer:

the number be Xthen, multiples of 3 be X+X+3+X+6and there sum is 45. ATQ,=> X+X+3+X+6=45=> 3x+9=45=> 3x=45-9=> 3x=36=> x=36/3=> x=12thus, the multiples of 3 is 12,15 and 18and 18 is the greatest multiple among them. Answer:let the number be Xthen, multiples of 3 be X+X+3+X+6and there sum is 45.

Answered by principle76
0

Question

The sum of three consecutive multiples of 3 is 45 find the three number.

Answer

 \sf \:  = let \:  \: the \:  \: three \:  \: multiples \:  \: of \:  \: 3 \:  \: bee \\  \\  \sf \:  =  \: 3x \:  \: and \: 3x + 3 \:  \: and \:  \: 3x + 6 = 45 \\  \\  \sf \:  = 3x + 3x + 3x + (3x + 6) = 45 \\  \\  \sf \:  = 6x + 3 + 9x = 45 \\  \\  \sf \:   = 9x + 9x = 45 \\  \\  \sf \:  = 9x = 45 - 9x \\  \\  \sf \:  = 9x = 36 \\  \\  \sf \:  =  \: x =   \frac{ 36}{9}  = 4 \\  \\  \sf \:  = x = 4 \\  \\  \tt \: now \:  \: to \:  \: find \:  \: the \:  \: three \: \\  \tt  \: number \\  \\  \sf \:  = 1st \:  \: number3 \times 4 = 12 \\  \\  \sf \:  =  \: 2nd \:  \: number \:  = 12 + 3 = 15 \\  \\  \sf \:  =  \: 3rd \: number = 15 + 3 = 18

Similar questions