PRC-2 · Chapter 1 · Question 27 of 45
A mother is currently twice as old as her daughter. Five years ago, she was three times as old as her daughter. How old is the daughter today?
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: A) 10 years old
Explanation
Let daughter's age = x, mother's age = 2x. Five years ago: 2x - 5 = 3(x - 5). This expands to 2x - 5 = 3x - 15. Solving for x yields x = 10. The daughter is 10 years old.
More Linear And Quadratic Equations MCQs
- Q29The numerator of a fraction is 3 less than its denominator. If 2 is added to both the numerator and the denominator, the fraction becomes…
- Q30Find the roots of the quadratic equation 4x^2 - 8x - 5 = 0.
- Q31Which of the following expressions is a quadratic equation?
- Q32Solve the linear equation for x: 3(x - 4) = 2(x + 1).
- Q33In the quadratic formula x = [-b ± √(b^2 - 4ac)] / 2a, what is the term (b^2 - 4ac) specifically called?
