The soldiers in two armies when they met in a battle were in the ratio of 10 : 3. Their respective losses were as 20 : 3 and the survivors as 40 : 13. If the number of survivors in the larger army be 24,000, find the original number of soldiers in each army ?	Choose the most appropriate option:
A) 28000, 8400
B) 25000, 7500
C) 29000, 2750
D) 26000, 7800
E) 27000, 7800
Let the soldiers in the two armies be 10X, 3X and losses be 20Y, 3Y,   Then we have,   10X - 20Y = 24000 ...(i)   28000, 8400nd 3X - 3Y = 24000 x 13/40 = 7800   Solving, we have 10X = 28000, 3X = 8400   28000, 8400NSWER:28000, 8400
<result>A</result>
The soldiers in two armies when they met in a battle were in the ratio of 10 : 3. Their respective losses were as 20 : 3 and the survivors as 40 : 13. If the number of survivors in the larger army be 24,000, find the original number of soldiers in each army ?