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The ratio of two numbers is 2:3.If both the numbers are increased by 8 their ratio becomes 10:13.Find the number. |
a / b = 2 / 3 (a + 8) / (b + 8) = 10 / 13 a x 3 = 2 x 2 13 (a + 8) = 10 x (b + 8) 3a = 2b 13a + 104 = 10b + 80 3a = 2b 13a + 24 = 10b 3a = 2b a = (2/3) b 13 x (2/3) x b + 24 = 10b 13 x 2b + 72 = 30b 26b + 72 = 30b 72 = 4b b = 18 a = (2/3) x b a = (2/3) x 18 a = 12 Numbers are 12 and 18. |