The difference between Sally's PE mark and Science mark is 12, and the sum of the marks is 154. If the PE mark is the higher mark, what did Sally get for each subject?

PE = 83 and Science = 71

Step-by-step explanation:

let P represent PE and S represent Science with P > S, then

P + S = 154 → (1)

P - S = 12 → (2)

Adding the 2 equations term by term eliminates S

2P = 166 (divide both sides by 2)

P = 83

Substitute P = 83 into (1)

83 + S = 154 (subtract 83 from both sides)

S = 71

Hence PE mark = 83 and Science mark = 71