Three friends Alice, Bond and Charlie divided Rs. 2,210 amongst them in such a way that if Rs. 17. Rs. 10 and Rs
18 are deducted from the sums that Alice, Bond and Chadie received respectively, then the resultant ratio of their
sums received will be 133:171:129. How much sum did Charlie receive?
Answers
Given : Three friends Alice, Bond and Charlie divided Rs. 2,210 amongst them in such a way that if Rs. 17. Rs. 10 and Rs 18 are deducted from the sums that Alice, Bond and Chadie received respectively, then the resultant ratio of their sums received will be 133:171:129.
To Find : sum Charlie received
Solution:
Alice, Bond and Charlie receive A , B and C respectively
(A - 17 ) : ( B - 10) : (C - 18 ) :: 133 : 171 : 129
=> (A - 17 ) : ( B - 10) : (C - 18 ) :: 133k : 171k : 129k
=> A = 133k + 17
B = 171k + 10
C = 129k + 18
A + B + C = 2210
=> 133k + 17 + 171 k + 10 + 129k + 18 = 2210
=> 433k + 45 = 2210
=> 433k = 2165
=> k = 5
Charlie receive 129k + 18
= 129 * 5 + 18
= 645 + 18
= 663
Charlie received = Rs 633
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