Question

A three digit number is such that the sum of its hundreds and tens digit is 10 with a number is divided by its hundreds digits the quotient is 108 and when divided by The sum of All its digits the quotient is 36 taking excess the number hundreds digit why are sense digit and tea as ones digit Express y in terms of x( b) form and simplify two simultaneous equations in terms of x and T (C )solve the equations and find the number

Answer 1

Let the no. be xyz
x+y=10
Its value is 100x+10y+z
(100x+10y+z)÷×=108
100x+10y+z=108x
100x-108x+z=10y
-8x+z=-10y......(i)
(100x+10y +z)÷(x+y+z)=36
64x-26y-35z=0
64x-35z=26y......(ii)

(-8x+z=-10y)35
(64x-35z=26y)1
-280x+35z=-350y +
64x-35z=26y
÷-216(-216x=(-324y)÷-216
        x=1.5y
x+y=10
1.5y+y=10
2.5y=10 
y=4 
x+4=10
x=10-4
x=6
64x-35z=26y
(64×6)-35z=(26×4)
384-35z=104
384-104=35z
280=35z 
z=8
The no. is 648

Answer 2

Ans=648 . By Panyako Desmond Tutu