SOLUTION: the units of a two-digit numeral is 5 more than the tens digit the number is 3 times the sum of its digits.find the numeral
Algebra.Com
Question 282433: the units of a two-digit numeral is 5 more than the tens digit the number is 3 times the sum of its digits.find the numeral
Found 2 solutions by dturpin53, solver91311:
Answer by dturpin53(1) (Show Source): You can put this solution on YOUR website!
let a be the 10's digit and let b be the units digit.
From the stated problem the units digit is 5 more than the tne's digit or in equation form:
b = a + 5
The number is 3 times the sum of the digits or in equation form we have:
10a + b= 3( a + b)= 3a + 3b
substituting the b value from the first equation into the second we have:
10a + a + 5 = 3a + 3(a +5)= 3a + 3a + 15
11a + 5 = 6a + 15
5a = 10
a = 2
b = a + 5 = 2 + 5 = 7
is this correct, the number is 27, and the sum of digits is 9 and 3*9 = 27
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Let 
represent the 10s digit. Then 
must represent the units digit.
The number is then \ =\ 11x\ +\ 5)
, and the sum of the digits is 
, and three times the sum of the digits is then \ =\ 6x\ +\ 15)
, so:
Solve for (which you know has to be 4 or less -- otherwise adding 5 to get the units digit would result in something other than a digit)
John
RELATED QUESTIONS
The units' digit of a two-digit numeral is 5 more than the tens' digit. The number is 3... (answered by Nate)
find the two-digit number whose units' digit is 5 more than its tens' digit and whose... (answered by Gogonati)
a two digit number is 6 times the sum of its digits. the tens digit is 1 more than the... (answered by xcentaur)
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)
The difference between the digits of a two-digit number is 1. The number itself is 1 more (answered by josgarithmetic,greenestamps)
The difference between the digits of a two-digit number is 1. The number itself is 1 more (answered by josgarithmetic,ankor@dixie-net.com,greenestamps)
The difference between the digits of a two-digit number is 1. The number itself is 1 more (answered by mananth)
A two digit number is two less than six timers the sum of its digits. The tens digit is... (answered by Paul)