a : b = 4 : 9. If 4 is added to both of the numbers then the new ratio becomes 21 : 46. What is the difference between a and b?

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100

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125

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130

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Solution

The correct option is B 100
$\frac{a}{b} = \frac{4 x}{9 x} a n d \frac{a + 4}{b + 4} = \frac{21}{46} \Rightarrow a = 80 a n d b = 180 ∴ b - a = 100$

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a : b = 4 : 9. If 4 is added to both of the numbers then the new ratio becomes 21 : 46. What is the difference between a and b?

The correct option is B 100ab=4x9x and a+4b+4=2146⇒ a=80 and b=180∴ b−a=100

The correct option is B 100
$\frac{a}{b} = \frac{4 x}{9 x} a n d \frac{a + 4}{b + 4} = \frac{21}{46} \Rightarrow a = 80 a n d b = 180 ∴ b - a = 100$