In a regiment, the ratio of number of officers to the no. Of soldiers was 3:31 before a battle. In battle 6 officers and 22 soldiers were killed the ratio between the no. of officers and no. of soldiers now is 1:13 .Find the no. Of officers and soldiers in regiment before the battle
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Answer:
Step-by-step explanation:
Let number of official initially be 3x and soldier be 31x(ratio is maintained).
Now,
Given:
After battle;
3x-6/31x-22 = 1/13;
Cross Multiplying;
(3x-6)*13 = (31x - 22)*1
39x - 78 = 31x -22
Like terms in same side;
39x - 31x = 78 - 22
8x = 56
Therefore, x = 7;
Number of officer = 3x = 3*7 = 21
Number of soldier = 31x = 31*7 = 217
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