Math, asked by zpthn9326, 1 year ago

Three consecutive numbers average is 18 find largest of these

Answers

Answered by kartik2507
0

Answer:

largest number is 19

Step-by-step explanation:

let the numbers be x, x+1, x+2

average of the three numbers is 18

 \frac{x  + x + 1 + x + 2}{3}  = 18 \\  \frac{3x + 3}{3}  = 18 \\  \frac{3(x + 1)}{3}  = 18 \\ x + 1 = 18 \\ x = 18 - 1 = 17 \\ the \: three \: numbers \: are \:  \\ x = 17 \\ x + 1 = 17 + 1 = 18 \\ x + 2 = 17 + 2 = 19  \\ 17 \:  \:  \: 18 \:  \:  \: 19\\ largest \: number \: is \: 19

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