Question

The sum of two consecutive number is 105 find the numbers
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Answer 1

Answer:

The two integers are 52 and 53.

Step-by-step explanation:

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Answer 2

• The first number = 52.
• The second number = 53.

Given :–

• The sum of two consecutive number = 105.

To Find :–

• The two consecutive numners.

Solution :–

Let,

• The first number be x.

• The second number be x + 1.

According to the question,

• 1st number + 2nd number = 105

So,

Here,

• 1st number = x.
• 2nd number = x + 1.

$\longmapsto x + (x+ 1) = 105$

$\longmapsto x + x + 1 = 105$

$\longmapsto2x + 1 = 105$

$\longmapsto2x = 105 - 1$

$\longmapsto2x = 104$

$\longmapsto x = \cancel \dfrac{104}{2}$

$\longmapsto x = 52$

So,

The first number = x = 52.

The second number = x + 1 = 52 + 1 = 53.

Check :–

1st number + 2nd number = 105.

• 1st number = 52.
• 2nd number = 53.

So,

$\longmapsto52 + 53 = 105$

$\longmapsto105 = 105$

Since, we obtain 105 after sum of the L.H.S. numbers (1st number and 2nd number).

So, the value of the first number = 52 and the second num er = 53 is correct.