The sum of two consecutive integers is 105 find the integers

Mathematics

2 answers:

zzz [600]3 years ago

7 0

The integers are 52 and 53

<em><u>Solution:</u></em>

Consecutive numbers are numbers that follow each other in order. They have a difference of 1 between every two numbers

Let the two consecutive integers be x and x + 1

Given that, sum of two consecutive integers is 105

Therefore,

x + x + 1 = 105

Combine the like terms

2x + 1 = 105

2x = 105 - 1

2x = 104

Divide both sides of equation by 2

x = 52

Thus, another integer = x + 1 = 52 + 1 = 53

Thus the integers are 52 and 53

DanielleElmas [232]3 years ago

6 0

Answer:

52,53

Step-by-step explanation:

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Lets make the fractions all like terms.

242/4 - 37/4=205/4. Lets now make this a mixed fraction.
By doing 205/4, we find out that 4 goes in less than 51 times.

1. 51 1/4.

2. 11/2 = 66/12.....so 66/12 - 29/12= 37/12. Make it mixed fraction: 3 1/12.

3. 36/5=72/10. 72/10 - 37/10 = 35/10. As a mixed it is 3 1/2

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