Thomas's age and Matt's age are in the ratio 3:5. Two years ago the ratio of their ages was 5:9. Find the ratio of their ages four years hence?
Answers
A) 1:2  B) 2:3  C) 3:4  D) 4:5  E) 5:6
Let ages of Thomas and Matt be x and y respectively.   x/y = 3/5 =&gt; x = 3/5 y   (x- 2)/(y - 2) = 5/9   =&gt; 9x - 18 = 5y - 10 =&gt; 9x = 5y + 8   But x = 3/5 y   9 * 3/5 y = 5y + 8   27y = 25y + 40 =&gt; y = 20 years   =&gt; x = 3*20/5= 
<gadget id="calculator">3*20/5</gadget>
<output>12</output>
&gt; 12 years   Ratio of their ages four years hence, (12 +4)/(20+ 4)= 16/24. =&gt; 2:3   Answer:2:3
<result>B</result>
Thomas's age and Matt's age are in the ratio 3:5. Two years ago the ratio of their ages was 5:9. Find the ratio of their ages four years hence?