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the denominator of a rational number is greater than its numerator by 3.If numerator is increased by 14 and denominator is decreased by 3,the new number became 11/4. What is original numbers

Sagot :

devishri1977

Answer:

8/11

Step-by-step explanation:

Let the numerator = x

Denominator =x + 3

Number : [tex]\dfrac{x}{x+3}[/tex]

[tex]\dfrac{x+14}{x+3-3}=\dfrac{11}{4}\\\\\\\dfrac{x+14}{x}=\dfrac{11}{4}[/tex]

Cross multiply,

4*(x +14) = 11*x

4x + 4*14 = 11x

4x + 56 = 11x

Subtract 4x from both sides

56 = 11x - 4x

56 = 7x

7x = 56

Divide both sides by 7

x = 56/7

x = 8

[tex]\dfrac{8}{11}[/tex]

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