SOLUTION: A two-digit counting number has a value that is 1 greater than 8 times the sum of its digits. If 3 times the tens' digit is 11 greater than the units' digit, what is the number?

Question 625807: A two-digit counting number has a value that is 1 greater than 8 times the sum of its digits. If 3 times the tens' digit is 11 greater than the units' digit, what is the number?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
A two-digit counting number has a value that is 1 greater than 8 times the sum of its digits. If 3 times the tens' digit is 11 greater than the units' digit, what is the number?
**
let u=units digit
let t=tens digit
3t=u+11
u=3t-11
..
10t+u=8(t+u)+1
10t+u=8t+8u+1
10t+3t-11=8t+8(3t-11)+1
10t+3t-11=8t+24t-88+1
19t=76
t=4
u=3t-11=12-11=1
number=10t+u=40+1=41

RELATED QUESTIONS
A two digit counting number has a value that is 4 times the sum of its digits. If 4 times (answered by ankor@dixie-net.com)

A two-digit counting number has a value that is 7 more than 6 times the sum of its... (answered by josgarithmetic)

A two digit counting number has a value that is 7 more than 6 times the sum of its... (answered by ankor@dixie-net.com)

A two-digit counting number has a value that is 7 times the sum of its digits. If 5... (answered by ankor@dixie-net.com)

A two digit counting number has a value of 8 times the sum of its digits. If 6 times the... (answered by nerdybill)

This is my problem: A two-digit counting number has a value that is 8 times the sum of... (answered by ikleyn,greenestamps,MathTherapy)

The difference between the digits of a two digit number is 1. The number itself us 1 more (answered by josgarithmetic,MathTherapy,greenestamps)

the difference between the digits of a two digit number is 1. the number itself is 1 more (answered by Seutip)