Thomas's age and Matt's age are in the ratio 6:7. Four years ago the ratio of their ages was 5:6. Find the ratio of their ages 10 years before?	Pick one
A) 3:5 B) 5:7 C) 7:9 D) 9:11 E) 11:13
Let ages of Thomas and Matt be x and y respectively.   x/y = 6/7 =&gt; x = 6/7 y   (x-4)/(y -4) = 5/6   =&gt; 6x - 24 = 5y - 20 =&gt; 6x = 5y + 4   But x = 6/7 y   6 * 6/7 y = 5y + 4   36y = 35y +28 =&gt; y = 28 years   =&gt; x = 6*28/7= 
<gadget id="calculator">6*28/7</gadget>
<output>24</output>
&gt;24 years   Ratio of their ages four years hence, (24-10)/(28-10)= 14/18. =&gt; 7:9   Answer: 7:9
<result>C</result>
Thomas's age and Matt's age are in the ratio 6:7. Four years ago the ratio of their ages was 5:6. Find the ratio of their ages 10 years before?