Question

Solve the ff. problems. Present a complete and systematic solution.

1.) A number added to twice its reciprocal is equal to 11/3. WHat is the number?

2.) The ratio of ten more than three times a number to the square of the same number is equal to 1. What is the number?

3.) The denominator of a fraction is 3 more than the numerator . If 5 is added to the numerator and 4 is subtracted from the denominator, the value of the new fraction is 2. What is the original fraction?

Answer 1

Use Quad. Formula to prob. 1, and 2.
1. x + 2*1/x = 11/3. x = ?.

2. (3x+10)/x^2 = 1. X = ?.

3. x+5)/(x+3-4) = 2. X = ?.

Original fraction = x/(x+3).

Answer 2

A number more than 32 devided by 15 more than twice a number is equal to 7/6