SOLUTION: the tens digit of a two number is three greater than the ones digit. the difference between twice the original number and half the number obtained after reversing the digits is 108

Question 490788: the tens digit of a two number is three greater than the ones digit. the difference between twice the original number and half the number obtained after reversing the digits is 108
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
the tens digit of a two number is three greater than the ones digit. the difference between twice the original number and half the number obtained after reversing the digits is 108
----
Let the number be 10t+u
----
Equations:
t = u + 3
2(10t+u)-(1/2)(10u+t) = 108
-----------------------------------
Modify:
t = u+3
4(10t+u) - (10u+t) = 216
----
39t - 6u = 216
t = u+3
------
Substitute and solve for "u":
39(u+3) - 6u = 216
33u = 216-3*39
33u = 99
u = 3
---
Solve for "t":
t = u + 3
t = 6
-----
The number is 63
=======================
Cheers,
Stan H.
RELATED QUESTIONS
he tens digit of a two-digit number is three greater than the ones digit. The difference... (answered by lwsshak3)

an odd number between 48 and 64 the tens digit is greater than the ones digit and the... (answered by Alan3354,Edwin McCravy)

I am a prime number. I am greater than 40 and less than 90. My ones digit and tens digit... (answered by ankor@dixie-net.com)

The value of the ones digit of a three-digit number is the sum of the hundreds and and... (answered by josgarithmetic,greenestamps)

THE DIFFERENCE OF THE DIGITS OF A TWO-DIGIT NUMBER IS 3. THE TENS' DIGIT IS 1 MORE THAN... (answered by chibisan,jsmallt9)

What is the mystery number? This three-digit number has a hundreds digit two greater the... (answered by josgarithmetic)

In a three digit number, the sum of its ones digit and tens digit is ten. Its tens digit... (answered by Edwin McCravy)

the difference between the tens digit and the unit digit of a two digit number is 3.... (answered by nerdybill)

I am a 4 digit number with no two digits the same. My ones digit is twice my thousands... (answered by josmiceli)