Question

Mary is 4 years older than Sue. If the sum of their ages is 16. How would you set up the equations?

Answer 1

A. x=y-4, x+y=16

C. x=y-4, x+y=16

Step-by-step explanation:

• Let Sue's age = x

Mary is 4 years older than Sue, therefore:

• Mary's age, y = x+4

`\begin{gathered} y=x+4 \\ \implies x=y-4 \end{gathered}`

Next, the sum of their ages is 16. This gives:

`x+y=16`

Therefore, the equation is:

`\begin{gathered} x=y-4 \\ x+y=16 \end{gathered}`

The correct choices are A and C.