SOLUTION: the sum of the units digit and the tens digit of a two digit number is 7. ia 3 is added to the number, the new number equals 11 times the tens digit of the original number.Find the
Algebra.Com
Question 802976: the sum of the units digit and the tens digit of a two digit number is 7. ia 3 is added to the number, the new number equals 11 times the tens digit of the original number.Find the original number
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
let a = the 10's digit
let b = the units
then
10a + b = the number
:
the sum of the units digit and the tens digit of a two digit number is 7.
a + b = 7
;
if 3 is added to the number, the new number equals 11 times the tens digit of the original number.
10a + b + 3 = 11a
b + 3 = 11a - 10a
b + 3 = a
rearrange, use elimination with the 1st equation
a - b = 3
a + b = 7
-----------Addition eliminates b, find a
2a = 10
a = 5
:
I'll let you find b, check your number in both statements
Find the original number
RELATED QUESTIONS
The units’ digit of a two-digit number is 2 more than 3 times the tens’ digit. When the... (answered by josmiceli)
the units digit of a two digit number is double the tens digit. if the digit are reversed (answered by josgarithmetic,Alan3354,ikleyn,Edwin McCravy)
The units’ digit of a two-digit number is 7 more than the tens’ digit. If 26 is added to... (answered by math_helper)
The ratio of the tens digit to the units digit of a two-digit number is 1:4. If the... (answered by josmiceli)
A two digit number the sum of its two digits is three times of its units digit and its... (answered by Theo)
The sum of the units digit and 3 times the tens digit of a 2 digit number is 14. The sum (answered by ankor@dixie-net.com)
The product of a two-digit number and its unit digit is 96. Find the two digit number if... (answered by josgarithmetic)
The product of a two-digit number and its tens digit is 285. The units digit is two more... (answered by ankor@dixie-net.com)
The sum of the digits of a two-digit number is 7. The tens digit is 7 more than twice the (answered by josmiceli)