Question

The sum of the reciprocals of 2 consecutive integers is 32/132

Answer 1

SOLUTION:

x + x + 1 = 132 / 32

2x + 1 = 33 / 8

2x = 33 / 8 - 1

2x = 25 / 8

x = 25 / 8 / 2

x = 25 / 16

The first number is 25 / 16. Therefore, as the second number is consecutive we simply add 1 to the first number to achieve the second number as displayed below:

Second number:

= x + 1

= 25 / 16 + 1

= 36 / 16

= 9 / 4

ANSWER:

Therefore, the first number is 25 / 16 and the second number is 9 / 4.

Hope this helps! :)