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Hope it helps you....
Step-by-step explanation:
Let the two digit number be 10x + y
Now, xy = 18 --- (i) and,
(10x + y) - 63 = 10y + x ---- (ii)
form (ii) we have,
10x + y - 63 = 10y + x
=> 9x - 9y = 63
=> x - y = 7 --- (iii)
Now, (x - y)2 = (x + y)2 - 4xy
=> (x + y)2 = (x - y)2 + 4xy = (7)2 + 4(18) = 49 + 72 = 121
=> x + y = 11
so, x - y = 7 and x + y = 11
on adding we get,
2x = 18 => x = 9 => y = 2
Hence the two digit number is
10(9) + 2 = 92 Ans
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