SOLUTION: Hi
the units digit of a two digit number is one more than the tens digit. If the digits are reversed the new number is 3 less than twice the original number . What is the number
Algebra ->
Customizable Word Problem Solvers
-> Misc
-> SOLUTION: Hi
the units digit of a two digit number is one more than the tens digit. If the digits are reversed the new number is 3 less than twice the original number . What is the number
Log On
Question 1147657: Hi
the units digit of a two digit number is one more than the tens digit. If the digits are reversed the new number is 3 less than twice the original number . What is the number.
I sent this question earlier but I omitted some information.
Thanks Found 2 solutions by Theo, MathTherapy:Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website! let T = the tens digit.
let U = the units digit.
the number will be 10T + U.
the new number with the digits reversed will be 10U + T.
you are given that the units digits is one more than the tens digit.
this means that U = T + 1
you are given that the new number is 3 less than twice the original number.
this means that 10U + T = 2 * (10T + U) - 3
your two equations that need to be solved simultaneously are:
U = T + 1
10U + T = 2 * (10T + U) - 3
simplify the second equation and leave the first equation as is to get:
U = T + 1
10U + T = 20T + 2U - 3
place the variables on the left side of each equation and the constants on the right side of each equation to get:
U - T = 1
8U - 19T = -3
multiply both sides of the first equation by -8 and leave the second equation as is to get:
-8U + 8T = -8
8U - 19T = -3
add both equations together to get:
-11T = -11
solve for T to get:
T = 1
since U = T + 1, then U = 2
the number is 12.
the new number with the digits reversed is 21.
the units digits is 1 more than the tens digits.
this is true, since 2 is 1 more than 1.
the reversed number is 3 less than two times the original number.
this is true, since 21 = 2 * 12 - 3 = 24 - 3 = 21
solution looks good.
solution is that the original number is 12.
You can put this solution on YOUR website!
Hi
the units digit of a two digit number is one more than the tens digit. If the digits are reversed the new number is 3 less than twice the original number . What is the number.
I sent this question earlier but I omitted some information.
Thanks
Let the tens and units digits be T and U, respectively
Then we get: U = T + 1 ------ eq (i)
Also, 10U + T = 2(10T + U) - 3
10U + T = 20T + 2U - 3
3 = 20T - T + 2U - 10U
3 = 19T - 8U ----------- eq (ii)
3 = 19T - 8(T + 1) ----- Substituting T + 1 for U in eq (ii)
3 = 19T - 8T - 8
3 + 8 = 19T - 8T
11 = 11T
T, or tens digit =
U = 1 + 1 = 2 ------- Substituting 1 for T in eq (i)
U, or units digit = 2
Number: 12
