Problema Solution
a number of two digits exced four times the sum of its digits by 6 and the number is increased by 9 on reversing the digits.find number.
Answer provided by our tutors
let
x be the tens digit of the number
y be the ones digit of the number
the number is 10x + y
a number of two digits exceeds four times the sum of its digits by 6
10x + y = 6 + 4(x + y)
the number is increased by 9 on reversing the digits
10y + x = 9 + 10x + y
by solving the system of equations
10x + y = 6 + 4(x + y)
10y + x = 9 + 10x + y
we find
x = 3
y = 4
click here to see the step by step solution of the system of equations
the number is 34.