Question

One number is 5 times another.If 81 is subtracted from the greater the remainder will be 3 times the smaller.Find the numbers

Answer 1

let the smaller no be x
then the bigger no. will be 5x
81 is subtracted from the bigger no = 5x-81
the remainder will be 3x
so the equation is = 5x - 81 = 3x
=> 81 = 3x + 5x
=> 81 = 8x
=> 81/8=x
=> 10.125 = x
so 5x = 5*10.125
= 50.625
3x = 3*10.125
= 30.375

verification,
81=5x+3x
81 = 50.625 + 30.375
81=81

hence, our no r
x = 10.125
5x = 50.625
3x = 30.375

Hope it helps.