27. The sum of three numbers is 392...
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27. The sum of three numbers is 392 The ratio of first and second number is 2:3 and that of second and third mumber is 5:8. Find the first number (1) 80 (2) 120 (3) 60 (4) 100

11th - 12th Class
Maths
Solution
127
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27. (1) Let first, second and third numbers be ( A, B ) and ( C, ) respectively. Then, ( quad A: B=2: 3=2 times 5: 3 times 5=10: 15 ) [ B: C=5: 8=5 times 3: 8 times 3=15: 24 ] ( therefore quad A: B: C=10: 15: 24 ) Let ( A=10 x, quad B=15 x, C=24 x ) Then, according to the question, ( A+B+C=392 Rightarrow 10 x+15 x+24 x=392 ) ( Rightarrow quad 49 x=392 Rightarrow x=8 ) ( therefore ) First number ( =10 x=10 times 8=80 )
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