Question
The number of marbles with ‘Ankit’ and ‘Bhavya’
together is 25 more than that with ‘Chetan’, while the number of marbles with ‘Bhavya’ and ‘Chetan’ together is 15 more than that with ‘Ankit’. If ‘Ankit’ and ‘Chetan’ together have a total of 60 marbles, then find the number of marbles with ‘Ankit’, ‘Bhavya’, and ‘Chetan’, together.Solution
Let the number of marbles with ‘Ankit’, ‘Bhavya’, and ‘Chetan’ be ‘x’, ‘y’, and ‘z’, respectively. Therefore, x+y=z+25 ………(1) y+z=x+15 ………(2) x+z=60 ………(3) Add equations (1), (2), and (3): 2(x+y+z)=x+z+100 Or, 2(x+y+z)=60+100 Or, x+y+z=160/2=80 Thus, the total number of marbles with Ankit, Bhavya, and Chetan together is 80.
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