1.

Find two numbers in the ratio of 5 to 5, such that when each is diminished by 12, they shall[Ans. 40, 35]2"become in the ratio of 3 to 3.

Answer»

(5 + 5/7) / 5 = (1 + 1/7) / 1 = 8/7

(3 + 2/3) / 3 = 1 + 2/9 = 11/9

(8x - (12 + 1/2)) / (7x - (12 + 1/2)) = 11 / 99 * (8x - 12 - 1/2) = 11 * (7x - 12 - 1/2)72x - 108 - 9/2 = 77x - 132 - 11/2132 - 108 + 11/2 - 9/2 =77x - 72x24 + 2/2 = 5x24 + 1 = 5x25 = 5x5 = x

8x = 8 * 5 = 407x = 7 * 5 = 35

40,35



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