Question

find three consecutive number is 3 times the middle number is greater than the sum of the first and the last number by 176

Answer 1

✿ Solution ✿

Let's assume the consecutive numbers as

x, (x + 1) & (x + 2)

According to Question,

3(x + 1) - 176 = x + (x + 2)

⇒ 3x + 3 - 176 = 2x + 2

⇒ 3x - 173 = 2x + 2

⇒ 3x - 2x = 2 + 173

⇒ x = 175

❁ Required Numbers ❁

✦ x = 175

✦ x + 1 = 175 + 1 = 176

✦ x + 2 = 175 + 2 = 177

Hence, the consecutive numbers are 175, 176 & 177

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Answer 2

let the three consecutive numbers be x ;x + 1 ,X + 2

according to the question ;

3 ( X + 1 )- (X + X + 2) is equal to 176

3x+3-(2x +2)=176

3 X + 3 -2x -2= 176

X+1=176

X=175

X+1=176

X+2=177