Q. 44.4( 17 Votes )

# The numerator of a fraction is 4 less than the denominator. If 1 is added to both its numerator and denominator, it becomes . Find the fraction.

Answer :

Let the denominator of the fraction be x.

The numerator is 4 less than the denominator.

∴ The numerator = x – 4.

According to the given condition,

⇒

⇒ (Multiplying by x + 1 on both sides)

⇒

⇒ (Multiplying by 2 on both sides)

2x – 6 = x + 1

⇒ 2x – x = 1 + 6 (Transposing x to LHS and 6 to RHS)

x = 7

The numerator of the fraction = x – 4 = 7 – 4 = 3

The denominator of the fraction = x = 7

∴ The fraction is .

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PREVIOUSThe difference between two positive integers is 36. The quotient when one integer is divided by other is 4. Find the integers.(Hint: If one number is ‘x’, then the other number is ‘x – 36’)NEXTFind three consecutive numbers such that if they are divided by 10, 17, and 26 respectively, the sum of their quotients will be 10.(Hint: Let the consecutive numbers = x, x + 1, x + 2, then)

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