   # If twice the numerator is 2 more than the denominator and if 3 is added to each, new fraction is 2/3. Find the number?

289 views

In a rational number,
twice the numerator is 2 more than the denominator.
If 3 is added to each i.e. the numerator and the denominator, the new fraction is 2/3.

Find the original number? posted Dec 28, 2016

let the numerator be a and the denominator b. One of the equations is 2a=b+2. The other equation is (a+3)/b+3)=2/3. The solution gives a=7 and b=12. First check 2*7=12+2. Second check (7+3)/(12+3)=2/3 answer Dec 28, 2016

Similar Puzzles

The denominator of a fraction is greater than the numerator by 8.
If the numerator is increased by 17 and denominator is decreased by 1, the number obtained is 3/2.
Find the fraction.

The denominator of a rational number is greater than its numerator by 10.
If the numerator is increased by 5 and denominator is decreased by 1, then the number obtained is 3/4.
Find the original rational number.

+1 vote

3 rational numbers form a geometric progression in its current order.

1. If 8 is added to the middle number, then this new sequence forms an arithmetic progression.
2. If 64 is later added to the last number, then this yet another sequence forms a geometric progression again.
3. First number of these sequences is an integer.

Find the numbers?