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two numbers are in the ratio 3:4 if 6 is added to each term of the ratio there is an increase of 20% in the ratio find the first and second number. |
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Answer» Answer: 3 and 4 Step-by-step explanation: As the ratio is 3:4, let the numbers are 3A and 4A. When 6 is added to each term of the ratio there is an INCREASE of 20%. New numbers are 3a + 6 & 4a + 6. New ratio is 3/4 + (20% of 3/4)= 3/4 + 3/20 = 18/20 = 9/10 => (3a + 6) / (4a + 6) = 9/10 => 10(3a + 6) = 9(4a + 6) => 30a + 60 = 36a + 54 => 60 - 54 = 36a - 30a => 6 = 6a => 1 = a Therefore, numbers are 3a = 3(1) = 3, and, 4a = 4(1) = 4 |
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