10). The denominator of a rational number is greater than its numerator by 10. If the numerator is increased by 15 and the denominator is decreased by 1, the number obtained 3/2. Find the rational number.
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Step-by-step explanation:
Correct option is
C
21
11
Let the numerator be x.
⇒ Then, denominator will be =x+10
According to the question,
⇒
x+10−1
x+19
=
2
3
⇒
x+9
x+19
=
2
3
⇒ 2(x+19)=3(x+9)
⇒ 2x+38=3x+27
⇒ x=38−27
⇒ x=11
⇒ The required rational number =
x+10
x
=
11+10
11
=
21
11
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