The sum of the reciprocals of three consecutive integers is 47/60.

Question

What is the sum of the three integers?

Answer 1

The first three consecutive integers are

Than the sum of the reciprocals of three consecutive integers is 47/60.

The common denominator  of x-1, x, x+1 is (x-1)(x)(x+1)

Cancel the possible terms and add remaining terms

Appliy cross method

Bring all the terms to one side

Change the symbols

Substitute the value of x = 1

Is not satisfying

By substituting the value of x = 4

Therefore the value of x is satisfying

Therefore the value of x = 4

Therefore the required integers are

 

Comments

required integers are 3,4 and 5

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required integers are 3,4 and 5 and their sum is 12.