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 ?28000, 840025000, 750029000, 275026000, 7800
Question
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 ?28000, 840025000, 750029000, 275026000, 7800
Solution
Let's denote the number of soldiers in the larger army as 10x and in the smaller army as 3x.
According to the problem, the ratio of survivors in the larger army to the smaller army is 40:13. We also know that the number of survivors in the larger army is 24,000.
So, we can set up the following proportion to find the value of x:
40/13 = 24,000/x
Solving for x gives us x = 7,800.
Therefore, the original number of soldiers in the larger army was 10x = 107,800 = 78,000 and in the smaller army was 3x = 37,800 = 23,400.
So, the answer is 78,000 and 23,400.
Similar Questions
In a school the total number of students was 350 and the ratio of the number of boys and girls was 4: 3. After a few days 30 girls joined the school but a few boys left, as a result the ratio of the boys and the girls became 5: 6. Find the number of boys who left the school.35402550
An army of 12000 consists of Europeans and Indians. The average height of a European is 5 ft 10 inches and that of an Indian 5 ft 9 inches and that of the whole army is 5 ft 9 3/4 inches. Find the numbers of Indians in the army?
n a company there are 78000 employees out of which males and females are in the ratio 7 : 6. Out of the males 35% are working as HR and out of females 25% are working as HR. Find the total number of employees working as HR in the company.Question Description : 25700237002770023500
Total population of a village is 18500. The ratio between male population, female population and children population in the village is 8 : 7 : 5 respectively. If 70% of male in the village went to the city. Then find out the number of male remaining in the village?
The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.