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SSC Sample Paper Mock Test-3 SSC CGL Tear-II Paper-1

  • question_answer
    Two numbers are in the ratio 2 : 3. If 3 added to both of them, then their ratio becomes 3 : 4. Find the sum of the numbers.

    A)  10                               

    B)  15

    C)  20                               

    D)  25

    Correct Answer: B

    Solution :

    Let the numbers are x and y,                         According to the question,       \[\frac{x}{y}=\frac{2}{3}\] \[x=\frac{2y}{3}\]                                 ?(i)      Again,               \[\frac{x+3}{y+3}=\frac{3}{4}\] \[4x+12=3y+9\]                        ?(ii) Putting the value of x in Eq. (ii), we get                \[4\times \frac{2y}{3}+12=3y+9\] \[\Rightarrow \]               \[3y-\frac{8y}{3}=12-9\] \[\Rightarrow \]               \[\frac{9y-8y}{3}=3\] \[\Rightarrow \]               \[y=3\times 3=9\] \[\therefore \]                  \[x=\frac{2y}{3}=\frac{2\times 9}{3}=6\] \[\therefore \] Sum of the numbers\[=9+6=15\]


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