Question

present age of a rational number is greater than its numerator by 5. if the numerator is increased by 6 and the denominator is decreased by 4, the number obtained is 3/2. Find the rational number.solve it​

Answer 1

GIVEN :-

• A denominator is greater than it's numerator by 5.
• Numerator is increased by 6 and the denominator is decreased by 4.
• Obtained number is 3/2.

TO FIND :-

• The rational number = ?

SOLUTION :-

Let, the numerator be x

Therefore, denominator is x + 5.

Hence, Rational number = x/x + 5

A.T.Q

=> Numerator is increased by 6 = x + 6

=> Denominator is decreased by 4 = x + 5 - 4 = x + 1.

Hence, Rational number = x + 6/x + 1

A.T.Q

=> X + 6/X + 1 = 3/2

By cross multiplication

=> 2(x + 6) = 3(x + 1)

=> 2x + 12 = 3x + 3

=> 2x - 3x = 3 - 12

=> -x = -9

=> x = 9

Hence required rational number = x/x + 5

= 9/9 + 5

= 9/14

Hence required rational number is 9/14.

Answer 2

Answer:

Age of rational number

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