Ann and Susan

The difference between the present ages of Ann and Susan is 6 years. After 4 years ratio will be 3:4. What can be the present age of Susan?

Final Answer:

s =  20

Step-by-step explanation:

$$\begin{gathered} |a-s|=6 \\ (a+4):(s+4)=3:4 \\ s>a \\ a=s-6 \\ 4(a+4)=3(s+4) \\ 4((s-6)+4)=3(s+4) \\ 4\cdot ((s-6)+4)=3\cdot (s+4) \\ s=20 \\ \text{ Verifying Solution: } \\ a=s-6=20-6=14 \end{gathered}$$

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