PK 2020 Q14
14. The numbers \(x\) and \(y\) satisfy the equation \(17x + 51y = 102\). What is the value of \(9x + 27y\) ?
- A 54
- B 36
- C 34
- D 18
- E The value is undetermined.
Pink Kangaroo 2020, Question 14. © UK Mathematics Trust. Original paper on ukmt.org.uk
Answer: A 54
By dividing \(17x + 51y = 102\) by 17 we get \(x + 3y = 6\). Multiplying by 9 gives \(9x + 27y = 54\).
Solution © UK Mathematics Trust, from the PK 2020 solutions.