Question

sum of three consecutive even number is 51 . Fin the number .

Answer 1

$\huge{\underline{\mathcal{\red{A}\green{n}\pink{s}\orange{w}\blue{e}\pink{R:-}}}}$

The number are ➦ 16 , 17 , 18 .$\rule{200px}{.3ex}$

Which means that the first number is 16, the second number is 16 + 1 and the third number is 16 + 2. Therefore, three consecutive integers that add up to 51 are 16, 17, and 18. We know our answer is correct because 16 + 17 + 18 equals 51 as displayed above. .

$\rule{200px}{.3ex}$

Answer 2

$\green{Let \: three \: off \: number \: be \: x + 1 \: x + 3 \: x + 5 \:} \\ \green { Sum \: of \: three \: number \: = \: (x + 3) + (x + 1) + (x + 5) = 51}\\ \pink{3x + 9 = 51} \\ \pink { 3(x + 3) = 51} \\ \pink{ x + 3 = 17 \:} \\ \pink{ x = 14 }\\ \pink{ So \: x = 14}\\ \pink{ x + 1 = 14 + 1 = 15 }\\ \pink { x + 3 = 17 }\\ \blue{ x + 5 = 19 \: (ans)}$