If 1 is added to the numerator of a fraction, it becomes 1/5 ; if 1 is taken from the denominator, it becomes 1/7 , find the fraction.

Let numerator be x and denominator be y. Given, if 1 is added to the numerator of a fraction, it becomes . y = 5(x + 1) .......(i) Given, if 1 is taken from the denominator, it becomes . ⇒ y - 1 = 7x ⇒ y = 1 + 7x ........(ii) Equating (i) and (ii) we get, ⇒ 5(x + 1) = 1 + 7x ⇒ 5x + 5 = 1 + 7x ⇒ 7x - 5x = 5 - 1 ⇒ 2x = 4 ⇒ x = 2. Substituting value of x in (ii) we get, y = 1 + 7x = 1 + 7(2) = 1 + 14 = 15. Original fraction = . Hence, fraction = .

A man has certain notes of denominations ₹ 200 and ₹ 50 which amount to ₹ 3,800. If the number of notes of each kind is interchanged, they amount to ₹ 600 less as before. Find the number of notes of each denomination.

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Mathematics

If 1 is added to the numerator of a fraction, it becomes 1/5 ; if 1 is taken from the denominator, it becomes 1/7 , find the fraction.

Linear Equations

Related Questions

A man has certain notes of denominations ₹ 200 and ₹ 50 which amount to ₹ 3,800. If the number of notes of each kind is interchanged, they amount to ₹ 600 less as before. Find the number of notes of each denomination.