Answer:
(10,5) and (9,6)
Step-by-step explanation:
•White card has 8 on one side and an unknown value on the other side. Let's take unknown value as p, i.e
Outcome of white card = (8, p)
•Red card has 4 on one side and unknown an the other side. Let's take q as the unknown figure on red card. I.e
Outcome of red card (4, q)
When the two cards are flipped the possible sum of their values will be:
•12 (8+4);
•8+q;
•4+p; and
•p+q
We are given that their sum values are 12, 13, 14 and 15
Therefore, let's now assume the following:
• 8+q = 13, or 8+q=14,
•4+p = 14, or 4+p = 13
Solving, we now have:
R1) 8+q = 13 => q= 13-8 = 5
or
R2) 8+q = 14=> q=14-8 = 6
W1) 4+p = 14 => p=14-4 = 10
or
W2) 4+p =13 => p=13-4 = 9
From the calculations, we can deduce that the two possible pair of values for the unknown nubers are:
(10,5) and (9,6)
