SOLUTION: 1.(a) Write an expression in terms of x and y for the total value of a two digit number having x as tens digits and y as the units digit. (b) The number in (a) above is such

Algebra ->  Linear-equations -> SOLUTION: 1.(a) Write an expression in terms of x and y for the total value of a two digit number having x as tens digits and y as the units digit. (b) The number in (a) above is such      Log On


   

Question 1179511: 1.(a) Write an expression in terms of x and y for the total value of a two digit number having x as tens digits and y as the units digit.

(b) The number in (a) above is such that three times the sum of its digits is less than the value of the number by 8.When the digits are reversed the value of the number is increased by 9.Find the number.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!

1.(a) Write an expression in terms of x and y for the total value of a two digit number having x as tens digits and y as the units digit.
10x+y
(b) The number in (a) above is such that three times the sum of its digits is less than the value of the number by 8.
3(x+y)+8=10x+y
3x+3y +8 = 10x+y
7x-2y=8-----------------------(1)
When the digits are reversed the value of the number is increased by 9.Find the number.
10y+x 10x+y+9
9y-9x=9
y-x=1
y=(x+1)
Substitute y in (1)
7x-2y=8
7x-2(x+1)=8
7x-2x-2=8
5x=10
x=2
y-x =1
so y =3
The number is 23