A fraction becomes if 5 is subtracted from its numerator and 3 is subtracted from its denominator. If the denominator of this fraction is 5 more than its numerator, find the fraction.

Question

KnowledgeBoat · Accepted Answer

Let numerator be x and denominator be y. Given, Denominator is 5 more than numerator. ∴ y = x + 5 ......(1) Given, A fraction becomes if 5 is subtracted from its numerator and 3 is subtracted from its denominator. Substituting value of y from equation (1) in (2), we get : ⇒ 2x - (x + 5) = 7 ⇒ 2x - x - 5 = 7 ⇒ x = 7 + 5 ⇒ x = 12. Substituting value of x in equation (1), we get : ⇒ y = 12 + 5 = 17. Fraction = . Hence, fraction = .

Mathematics

A fraction becomes if 5 is subtracted from its numerator and 3 is subtracted from its denominator. If the denominator of this fraction is 5 more than its numerator, find the fraction.

Linear Equations

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