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A number consisting 2 digits exceeds 4 time the sum of the digits by 3. If 27 is added to the number, the digits are reversed. find number. |
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Answer» Let tens digit be x and units digit be y Then number =10x+y Since the number is 4 times the sum of digits Hence 10x+y=4(x+y) i. e. 6x=3y. Or 2x=y……(i) Also when 27 is added the digits are reversed Number when digits are reversed =10y+x Hence 10x+y+27=10y+x 9x+27=9y. Or x+3=y………..(ii) From (i) and (ii) we get x+3=2x hence x=3. and y=2x=6 and number =36 |
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