Question

three consecutive integer add up to 51 what are the integer

Answer 1

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Three consecutive integers add up to 51 .what are these integers ?

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lLet three consecutive integers be x,x+1 and x+2

Three consecutive integers add up to 51.

x+x+1+x+2 = 51

3x+3 = 51

3(x+1) = 51

x+1 = 51/3

x+1 = 17

x = 17-1

x = 16

x = 16

x+1 = 16+1 = 17

x+2 = 16+2 = 18

The three consecutive integers are 16,17 and 18

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Answer 2

Answer:

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Let the three consecutive integers be x, x + 1 and x + 2.

As per the condition, we get

x + (x + 1) + (x + 2) = 51

⇒ x + x + 1 + x + 2 = 51

⇒ 3x + 3 = 51

⇒ 3x = 51 – 3 [transposing 3 to RHS]

⇒ 3x = 48

⇒ x = 48 ÷ 3 [transposing 3 to RHS]

⇒ x = 16

Thus, the required integers are 16, 16 + 1 = 17 and 16 + 2 = 18, i.e., 16, 17 and 18

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