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Q.

Two numbers are in the ratio 5 : 11. If  8 is added to both the numbers they will be in ratio 1 : 2. What is the sum of the two numbers ?

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a

100

b

128

c

80

d

144

answer is B.

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Detailed Solution

Two numbers are 5x, 11x

5x+811x+8=12

10x+16=11x+8x=8

5x=5×8,   11x=11×8

40+88=128

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Two numbers are in the ratio 5 : 11. If  8 is added to both the numbers they will be in ratio 1 : 2. What is the sum of the two numbers ?