The result of dividing a number of two digit by the number with the digits reversed is 5/6 if the difference of the digits is 1 find the number
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let the number be of the form 10x+y
after reversed it will be 10y+x
given ratio of dividing this is 5/6
so 10x+y/10y+x = 5/6. ......i
and also given that x-y = 1 ......ii
by solving 1st equation we get
60x+6y = 50y+5x
55x = 44y
5x = 4y
substituting this value in ii
4y/5 - y = 1
y = -5
x= 4/5(-5) = -4
hence the number is 10(-4) +-5 = -45
after reversed it will be 10y+x
given ratio of dividing this is 5/6
so 10x+y/10y+x = 5/6. ......i
and also given that x-y = 1 ......ii
by solving 1st equation we get
60x+6y = 50y+5x
55x = 44y
5x = 4y
substituting this value in ii
4y/5 - y = 1
y = -5
x= 4/5(-5) = -4
hence the number is 10(-4) +-5 = -45
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I think it is 45
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ans 45
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