The denominator of a rational number is greater than its numerator by 10. If thenumerator is increased by 19 and the denominator is decreased by 1. the number obtained is 3/2. Find the original number.
Accepted Solution
A:
Answer:3 / 4Step-by-step explanation:The original no. = x / x + 10 [ Numerator is taken as x ]The new no. = x + 19 / (x + 10) - 1 = x + 19 / x + 9 = 3 / 2Equation-x + 19 / x + 9 = 3 / 2By cross multiplying, we get,2x + 38 = 3x + 272x - 3x = 27 - 38 -x = -11 x = 11Therefore the original no. = ( 11 + 19 ) / ( 11 + 19 + 10 ) = 30 / 40 = 3 / 4Hope you liked the answer!!If you found the answer helpful, please mark it as the Brainliest!!Regards..