Rs 610 is to devided among a b c such that the thrice the share of a is equal to four time that of b which is equal to seven time of c
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3a=4b=7c
a+b+c=610
A's share= a + 3a/4 + 3a/7 = 610
28a + 21a + 12a = 610×28
61a = 610×28
a= 610×28/61
a=280
B's share= 280 + b + 4b/7 = 610
7b + 4b = 330×7
11b=330×7
b=330×7/11
b=210
C's share= 280+210+c= 610
C=120
Verification
3a = 3×280=840
4b = 4×210=840
7c = 7×120=840
a+b+c=610
A's share= a + 3a/4 + 3a/7 = 610
28a + 21a + 12a = 610×28
61a = 610×28
a= 610×28/61
a=280
B's share= 280 + b + 4b/7 = 610
7b + 4b = 330×7
11b=330×7
b=330×7/11
b=210
C's share= 280+210+c= 610
C=120
Verification
3a = 3×280=840
4b = 4×210=840
7c = 7×120=840
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