SOLUTION: The units' digit 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 146921: The units' digit 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.
Answer by Nate(3500) (Show Source): You can put this solution on YOUR website!
Number: 10x + y
The units' digit of a two-digit numeral is 5 more than the tens' digit.
y = 5 + x
The number is 3 times the sum of its digits.
10x + y = 3(x + y)
10x + y = 3x + 3y
7x - 2y = 0
Substitute:
7x - 2y = 0
7x - 2(5 + x) = 0
7x - 10 - 2x = 0
5x = 10
x = 2
Substitute:
y = 5 + x
y = 5 + 2
y = 7
Number: 10x + y = 10*2 + 7 = 27
RELATED QUESTIONS
the units of a two-digit numeral is 5 more than the tens digit the number is 3 times the... (answered by dturpin53,solver91311)
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)