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6th Class Mathematics Algebra Question Bank Algebra

  • question_answer
    DIRECTIONS: Passage ? 1 Read the passage(s) given below and answer the questions that follow. ? A combination of locks requires 3 numbers to open ? The second number is 2d + 5 greater than the first number. ? The third number is 3d - 20 less than the second number. ? The sum of the three numbers is 10 + 9. The first number is

    A)  \[3d-11\]        

    B)    \[2d+19\]

    C)  \[3d-7\]          

    D)    \[5d-11\]

    Correct Answer: C

    Solution :

         Let first number be ?a?. Second number = a + 2d + 5 Third number = a + 2d + 5 ? 3d + 20 \[=a-d+25\] Sum: \[a+a+2d+5+a-d+25=10d+9\] \[\Rightarrow \,\,3a+d+30=10d+9\Rightarrow \,3a+30=9d+9\] \[\Rightarrow \,\,a+10=3d+3\] \[\Rightarrow \,\,a=3d-7\]


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