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6th Class Mathematics Fractions Question Bank Arithmetic

  • question_answer
    The sum of three numbers is 98. If the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8, then the second number is:

    A) 20                   

    B)          30

    C) 38                   

    D)          48

    Correct Answer: B

    Solution :

    Let A, B and C be the first, second and third nos. respectively. Then, A : B = 2 : 3 and B : C = 5 : 8 Consider, \[A:B=2:3=2\times 5:3\times 5=10:15\] and \[B:C=5:8=5\times 3:8\times 3=15:24\] \[\therefore \,\,\,A:B:C=10:15:24\] Let the required number be 10x, 15x and 24x. Given sum of three numbers = 98 Then, \[\therefore \,\,\,\,10x+15x+24x=98\] \[\Rightarrow \,\,49x=98\Rightarrow \,x=2\] \[\Rightarrow \,\] Second number \[=15x=15\times 2=30\]


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