a two digit no is such that product of the digit is 35 and when 18 is added to the no the digits interchange their position. find the no.
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let the number be 10x+y
ATQ
xy=35
10x+y+18=10y+x
9x-9y=-18
x-y=-2
(x+y)^2=(x-y)^2+4xy=4+4×35=4+140=144
x+y=12
x-y=-2
2x=10
x=5
y=12-5=7
the number =10x+y=57 Ans
ATQ
xy=35
10x+y+18=10y+x
9x-9y=-18
x-y=-2
(x+y)^2=(x-y)^2+4xy=4+4×35=4+140=144
x+y=12
x-y=-2
2x=10
x=5
y=12-5=7
the number =10x+y=57 Ans
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