allegansveritatem
Full Member
- Joined
- Jan 10, 2018
- Messages
- 962
I have a simple problem here that I can't seem to get to come out right. Should be easy...but I keep getting fractional results where they have no business showing up. The problem is this: the sum of the tens digit and twice the units digit of a two digit number is 14. The number is 20 less than 11 times the units digit. What is the number.
I set this up thus:
t + 2u=14
10t+ u= 11u-20
which reduced to:
t+2u=14
10t-10u=-20
I multiplied the top equation by 5
5t + 10u=70
10t - 10u=-20
This works out to:
15t=50 or t=50/15
How can this be right? I have gone over this about 5 times and can't get around this result. Can anyone see where I am straying from the primrose path of truth?
I set this up thus:
t + 2u=14
10t+ u= 11u-20
which reduced to:
t+2u=14
10t-10u=-20
I multiplied the top equation by 5
5t + 10u=70
10t - 10u=-20
This works out to:
15t=50 or t=50/15
How can this be right? I have gone over this about 5 times and can't get around this result. Can anyone see where I am straying from the primrose path of truth?