Two numbers are in the ratio 3:5. If 13 is subtracted from each of the numbers, the new numbers are in the ratio 10:21. If 15 is added to each of the original numbers, then find out the new ratio obtained?
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Ratio of two numbers are = 3x : 5x
According to the question
(3x – 13)/(5x – 13) = 10/21
⇒ 21 (3x – 13) = 10 (5x – 13)
⇒ 63x – 273 = 50x – 130
⇒ 63x – 50x = 273 – 130
⇒ 13x = 143
⇒ x = 143/13
⇒ x = 11
First number = 3x = 3 × 11 = 33
Second number = 5x = 5 × 11 = 55
If 15 add in each number than ratio of two number = (33 + 15) : (55 + 15) = 48 : 70 = 24 : 35
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