If x and y are positive integers, then what is the value of x?
(1) When y is divided by x, the remainder is 20.
(2) When x is divided by y, the remainder is 7.
I surprised myself at the pace which I solved this one. Looks like a easy one.
Given x/y = 5.35 = 5 + 0.35
5 + 0.35 can be represented as 5 + 35/100 => 5 + 7/20 => 107/20
Hence x/y is 107/20.
Let us look at the statements:
1) Given y/x = some integer + 20 (remainder). We know that x/y = 107/20. Hence y/x = 20/107 -- gives us 20 as the remainder and 0 as the quotient. Sufficient.
2) Given x/y = 7. Yes this is also possible 107/20 gives us a remainder of 7. Sufficient.
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