a 2 digit number is such thatone digit is 1 more than the tens digit. the ratio of this number formed by reversing its digit id 5:6 .finf the number
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A 2-digit number is such that ones digit is 1 more than the tens digit. The ratio of this number and the. number formed by reversing its digits is 5:6.
let, two digit number are =xy
A/Q,
y = x + 1 ( i )
10x + y/10y + x = 5/6
we have to cross multiply ,we will get
(10x + y) = 6(10y + x )= 5
60x + 6y = 50y + 5x
60x + 5x = 50y - 6y
therefore , 55x - 44y = 0 ( ii )
now we have to put the value of y from ( i) in ( ii).
55x - 44 ( x + 1 ) = 0
55x - 44x - 44 = 0
11x = 44
x = 44 / 11
x = 4.
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