Question

Seven times a two digit number is equal to four times the number obtained by

reversing the order of its digits. If the difference of the digits is 3, determine the number

Answer 1

7(10x+y)=4(10y+x),70x+7y=40y+4x'66x-33y=0,x-y=3solve it

Answer 2

let the digits of the number at 100 and 10s place be x and y therefore number obtained=100x+y
therefore x-y=3,x=3+y
know ATQ
100x+y=4(100y+x)
from above x can be replace as
100(3+y)+y=4(100y+3+y)
300+100y+y=404y+12
303y=288
therefor y =288/303
and hence x can be found by putting value of y above and form the number .
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