Gabar has stolen 3838 boxes of jewels and divided them among Kalia, Sambha, and Mausie. Mausie told Basanti," If you take 48 from my share and 23 and 32 from that of Kalia and Sambha then the remaining boxes will be in the ratio of 7:15:23." How many boxes would Kalia have? 1/45 questions attemnted
Answers
Solution :-
Let kalia got K boxes, Sambha got S boxes , Mausie got M boxes .
So,
→ K + S + M = 3838
→ 7K + 7S + 7M = 26866 ------- (1)
also,
→ (M - 48) : (K - 23) : (S - 32) = 7 : 15 : 23 .
→ (M - 48)/(K - 23) = 7/15
→ 15M - 48 * 15 = 7K - 23 * 7
→ 15M - 7K = 559
→ 7K = 15M - 559 ------ (2)
and,
→ (M - 48)/(S - 32) = 7/23
→ 23M - 7S = 880
→ 7S = 23M - 880 -------- (3)
putting (2) and (3) in (1) ,
→ (15M - 559) + (23M - 880) + 7M = 26866
→ 45M = 26866 + 559 + 880
→ 45M = 28305
→ M = 629 .
putting value of M in (2),
→ 7K = 15 * 629 - 559
→ 7K = 8876
→ K = 1268 (Ans.)
Hence, Kalia have 1268 boxes .
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