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 larger mark, what did Sally get for each subject?

x + x - 12 = 154

2x = 166

x = 83

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Let's assume the marks obtained by Sally in the PE subject and the science subject are represented by PE and S, respectively.

According to the given information, the difference between Sally's PE mark and science mark is 12, so we can write the equation:
PE - S = 12 (Equation 1)

The sum of the marks is given as 154, so we can write the equation:
PE + S = 154 (Equation 2)

Since the PE mark is the larger mark, we can rearrange Equation 2 to express PE in terms of S:
PE = 154 - S (Equation 3)

Substituting Equation 3 into Equation 1, we have:
(154 - S) - S = 12

Simplifying the equation, we get:
154 - 2S = 12

Subtracting 154 from both sides, we have:
-2S = -142

Dividing both sides by -2, we get:
S = 71

Substituting the value of S into Equation 3, we can find PE:
PE = 154 - 71
PE = 83

Therefore, Sally received 83 marks in PE and 71 marks in science.

To find out what Sally got for each subject, we can set up a system of equations based on the given information.

Let's assume that Sally's PE mark is represented by the variable "P" and her science mark is represented by the variable "S."

1. According to the first piece of information, "The difference between Sally’s PE mark and science mark is 12," we can form the equation P - S = 12.

2. The second piece of information states, "The sum of the marks is 154." This gives us the equation P + S = 154.

Now we have a system of two equations with two variables:

P - S = 12
P + S = 154

To solve this system, we can use the method of elimination. Adding the two equations together eliminates the variable "S":

(P - S) + (P + S) = 12 + 154
2P = 166

Now we can solve for "P" by dividing both sides of the equation by 2:

P = 166 / 2
P = 83

So, Sally's PE mark is 83.

To find out Sally's science mark, we can substitute the value of P into either of the two original equations. Let's use the equation P + S = 154:

83 + S = 154
S = 154 - 83
S = 71

Therefore, Sally's science mark is 71.

In conclusion, Sally got 83 for PE and 71 for science.