SOLUTION: Plz help me in solving the linear equations involviing two variables.I want a full solution of my questions.My questions are: Q no:1= The sum of the numerator and the denominato

Question 1792: Plz help me in solving the linear equations involviing two variables.I want a full solution of my questions.My questions are:
Q no:1= The sum of the numerator and the denominator of a fraction is 10. If the numerator is multiplied by 3 and the denominator by 1/2, the fraction becomes 2/3. Find the fraction.?
Q no:2= A number consists of two digits . THe digit at ten's place is 4 times the digit at unit's place. On changing the place of digits , the new number formed is 54 less than the original number. Find the number?

Answer by longjonsilver(2297) (Show Source): You can put this solution on YOUR website!
Q1... let the fraction be a/b.
we know a + b = 10 ...equation 1.
We also know that
this is
substitute in for b from equation 1, gives

cross-multiply to give which becomes . Re-arranging this gives 20a = 20, therefore a=1. Solve for b, gives b=9.

Q2...this you can do by just looking...the tens digit is 4 times the unit digit...the only numbers that have this are 2 and 8....you have 28 and 82, a difference of 54. Done.
cheers
Jon.
RELATED QUESTIONS
Plz help me in solving word problems involving linear equations in two variables.I want... (answered by longjonsilver)

plz help me in solving this questions. Eliminate 't' from the following equations. Q... (answered by longjonsilver)

3. I have literally hundreds of questions. I am submitting only a few for help because... (answered by nerdybill)

My son is doing a worksheet called Solving Special Systems of Linear Equations, the... (answered by stanbon)

I need help with my Final Math Exam for Mat/116. It is algebra 1A. The final exam focuses (answered by mananth)

Can someone help me graph these equations,the questions are solved already. I just need... (answered by midwood_trail)

I need help solving this word problem we are to use a system of linear equations to solve (answered by richwmiller)

I need to solve the following system of linear equations with three variables. Here is... (answered by ptaylor)

List the zeros of y = x(x-5). If you have more than one solution, separate them with... (answered by rcdodds,josgarithmetic,MathTherapy)