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The number of a fraction is 3 more than the denominator if the numerator and the denominator are increased by 5 the fraction becomes 10/7 .find the fraction.hel |
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Answer» -Let the fraction be x/y.Given:The numerator is 3 more than the denominator.⟶ x = y + 3 -- equation (1)And,If numerator & denominator are increased by 5 , the fraction BECOMES 10/7.⟶ x + 5/y + 5 = 10/7Substitute the value of x from equation (1)⟶ (y + 3 + 5)/y + 5= 10/7⟶ 7(y + 8) = 10(y + 5)⟶ 7Y + 56 = 10Y + 50⟶ 56 - 50 = 10y - 7y⟶ 6 = 3y⟶ 6/3 = y⟶ 2 = ySubstitute the value y in equation (1).⟶ x = 2 + 3⟶ x = 5∴ The required fraction x/y is 5/2. |
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