The sum of two number is 55. The quotient obtained by dividing the larger number by the smaller number is 2, with a remainder of 7. Find the difference in the reciprocals of the numbers.
The final answer has to be 23/624

Thanks in advance!

Question

The sum of two number is 55. The quotient obtained by dividing the larger number by the smaller number is 2, with a remainder of 7. Find the difference in the reciprocals of the numbers.
The final answer has to be 23/624

Thanks in advance!

jiteshmeghwal9 · Answer

Let the larger number be 'a' & smaller number be 'b'. Then

According to question,

a=2b+7       (using Euclid's division algorithm )
a+b=55

jiteshmeghwal9 · Answer

solve for a & b

jiteshmeghwal9 · Answer

one way to solve this type of questions is to do as the question is asking to u step by step

lizabethliong · Answer

a=39
b=16

the next step please?

phi · Answer

Find the difference in the reciprocals of the numbers.

the reciprocal of x is 1/x  (i.e. you "flip" the number)
in this problem, find
$$ \frac{1}{16}- \frac{1}{39} $$