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Question 126
16 times X is equal to 5 times Y. If 8 is subtracted from Y it is 10 more than two times X. What is the sum of X and Y ?
Solution
$$16X = 5Y$$
Also, $$Y - 8 = 2X + 10$$
=> $$Y - 2X = 10 + 8 = 18$$
=> $$\frac{16X}{5} - 2X = 18$$
=> $$\frac{16X - 10X}{5} = 18$$
=> $$6X = 18 \times 5 = 90$$
=> $$X = \frac{90}{6} = 15$$
=> $$Y = \frac{16}{5} \times 15$$
=> $$Y = 16 \times 3 = 48$$
$$\therefore X + Y = 15 + 48 = 63$$
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