The denominator of a rational number is greater than its numerator by 10. If the numerator is increased by 19 and the denominator is decreased by 1. Then the number obtained is 4/3 .Find the rational number.
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Step-by-step explanation:
Let the numerator be x
Therefore , the dinomenator = x+ 10
A/Q
x+19/(x +10) - 1 = 4/3
=> 4(x +10-1) =3(x +19)
=> 4x + 36 = 3x + 57
=> 4x- 3x = 57 - 36
=> x = 21
Therefore the rational number = 21 / 21+ 10
= 21/31
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