Question

three consecutive intergers add up to 51 the intergers are

Answer 1

Step-by-step explanation:

three consecutive intergers add up to 51 the intergers are 16,17,18

Answer 2

Answer :-

• The three consecutive integers are 16, 17 and 18.

Step-by-step explanation :

To Find :-

• The three consecutive integers

Solution :-

Given that,

• Sum of the three consecutive integers = 51

Assumption:

Let us assume the three integers as, x, ( x + 1 ) and ( x + 1 ) + 1,

Therefore,

• x + ( x + 1 ) + ( x + 1 ) + 1 = 51

⟹ x + ( x + 1 ) + ( x + 1 ) + 1 = 51

⟹ x + x + 1 + x + 1 + 1 = 51

⟹ x + x + x + 1 + 1 + 1 = 51

⟹ 3x + 3 = 51

⟹ 3x = 51 - 3

⟹ 3x = 48

⟹ x = 48/3

⟹ x = 16

Hence,

• The value of x is 16.

Now, the integers are:-

• The integer which we assumed as x

⟹ x

⟹ 16

• The integer which we assumed as ( x + 1 )

⟹ ( x + 1 )

⟹ ( 16 + 1 )

⟹ 17

• The integer which we assumed as ( x + 1 ) + 1

⟹ ( x + 1 ) + 1

⟹ ( 16 + 1 ) + 1

⟹ 17 + 1

⟹ 18

Therefore,

The three consecutive integers are 16, 17 and 18.

Now, Verification

• x + ( x + 1 ) + ( x + 1 ) + 1 = 51

We have,

• L.H.S = x + ( x + 1 ) + ( x + 1 ) + 1
• R.H.S = 51

By putting the three consecutive numbers on L.H.S,

⟹ x + ( x + 1 ) + ( x + 1 ) + 1

⟹ 16 + 17 + 18

⟹ 16 + 35

⟹ 51

Now,

• L.H.S = 51
• R.H.S = 51

Hence, L.H.S = R.H.S

Hence, Verified!