Problema Solution
Tashi thinks of a 4-digit number, what is her number
Every digit is different.
The sum of the thousands digit and the ten digit is 10.
The sum of all the digits is 16
The difference between the hundreds digit and the ones digit is 6.
The difference between thousands digit and the hundreds digit is 3.
The number is greater than 8,000.
Answer provided by our tutors
Let
a = thousands digit
b = hundreds digit
c = ten digits
d = ones digit
a + c = 10
a + b + c + d = 16
b - d = 6
a - b = 3
........
By solving the system of equations for a, b, c and d we find the solution
........
a = 9
b = 6
c = 1
d = 0
The number is 9,610.