SOLUTION: In a certain number of two digits, the sum of the digits increased by 3, is twice the unit digit. If the number is divided by the sum of the digits, the quotient is 4 and the remai
Algebra.Com
Question 1111036: In a certain number of two digits, the sum of the digits increased by 3, is twice the unit digit. If the number is divided by the sum of the digits, the quotient is 4 and the remainder is 3. Find the number.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
let units digit be x
and tens digit be y
x+y+3 = 2x
x-y=3........(1)
(10y+x)= (x+y) *4 +3
subtract the equations
6y-3x =3
2y-x=1........(2)
add 1 & 2
y=4
therefore x=7
Number is 47
RELATED QUESTIONS
The unit digit of a two digit number is 1 less than the tens digit. If the number is... (answered by ikleyn)
A two digit number exceed twice the sum of digits by 7. Find the number if its ten digits (answered by josgarithmetic)
The unit digit of a two-digit number exceeds twice the tens digit by 1. Find the number... (answered by drk)
1. the sum of the digits f a two-digit number is 11. when the digits are reversed, the... (answered by stanbon,jsmallt9)
when a two digit number is divided by the sum of digits,the quotient is 8. If the tens... (answered by lwsshak3)
The sum of the two digits of a two-digit number is 12.If the digits are interchanged,the... (answered by Alan3354)
the sum of the digits of a two-digit number is 10. If the digits are reversed, the number (answered by Mathtut,josmiceli)
The sum of the digits of a two-digit number is 12. If the digits are interchanged, the... (answered by richwmiller)
The sum of the digits of a two digit number is 15. If the digits are interchanged, the... (answered by chriswen,oberobic)