PK 2020 Q3
3. In the calculations shown, each letter stands for a digit. They are used to make some two-digit numbers. The two numbers on the left have a total of 79.
What is the total of the four numbers on the right?
- A 79
- B 158
- C 869
- D 1418
- E 7979
| J | K | |
| + | L | M |
| 7 | 9 |
| J | M | |
| + | L | M |
| + | J | K |
| + | L | K |
| ? | ||
Pink Kangaroo 2020, Question 3. © UK Mathematics Trust. Original paper on ukmt.org.uk
Answer: B 158
The numbers on the left use the digits M and K in the Units column, and the digits J and L in the Tens column. The numbers on the right use the digits M and K twice in the Units columns, and the digits J and L twice in the Tens column, so the total is exactly twice that of the numbers on the left. Twice 79 is 158, answer B.
Solution © UK Mathematics Trust, from the PK 2020 solutions.