Bongani and Jane are friends. Bongani takes Jane's physics test paper and will not tell her what her mark is. He knows that Jane hates maths so he decides to tease her. Bongani says: “I have 2 marks more than you do and the sum of both our marks is equal to 14. What are our marks?”
Pick one
A) j=6,b=8  B) j=3,b=5  C) j=8,b=2  D) j=1,b=3  E) j=5,b=5
We have two unknown quantities, Bongani's mark and Jane's mark. Let Bongani's mark be b and Jane's mark be j.   Set up a system of equations   Bongani has 2 more marks than Jane.   b=j+2............(1)   Both marks add up to 14.   b+j=14............(2)   Use equation (1) to express b in terms of j   b=j+2   Substitute into equation (2)   b+j=14   (j+2)+j=14   Rearrange and solve for j   2j=14−2   =12   ∴j=6   Substitute the value for j back into equation (1) and solve for b   b=j+2   =6+2= 
<gadget id="calculator">6+2</gadget>
<output>8</output>
8   Bongani got 8 for his test and Jane got 6.   j=6,b=8nswer is j=6,b=8.
<result>A</result>
Bongani and Jane are friends. Bongani takes Jane's physics test paper and will not tell her what her mark is. He knows that Jane hates maths so he decides to tease her. Bongani says: “I have 2 marks more than you do and the sum of both our marks is equal to 14. What are our marks?”