1.

A number consists of two digits whose sum is 8. If 18 is subtracted from the number, the place of digits get interchanged. Find the number.

Answer»

53



Suppose the digit at unit's places is y and that at ten's places is X.
Then, the number = 10x + y,
ACCORDING to the question.x + y = 8 .......(i)
Again 10x + y - 18
= 10Y + x= 10x + y - 10y - x = 18
= x - y = 2 ............(iii)
From, equation (i) and (iii) we get 
x + y = 8
x - y = 2
2x = 10
= x = 5 and y = 3
∴ number = 10 x 5 + 3 = 53



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