Question

two numbers are in the ratio 5:11 . if 1 is added to first and 5 subtracted from second the new ratio is 1:2, find the numbers

Answer 1

Answer:

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Answer 2

Answer:

35 and 77.

Explanation:

Let the two numbers be 5x and 11x.

So that their ratio is 5:11.

Now adding 1 to numerator,

5x+1.

And subtracting 5 from denominator,

11x-5.

We are given that their new ratio is 1:2.

So, 5x+1 : 11x-5 = 1:2

(5x+1) / (11x-5) = 1/2

Cross multiplication,

2(5x+1)=11x-5

10x+2=11x-5

2=x-5

x=7

So the numbers are,

5x=35 and 11x=77.

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