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7th Class Mathematics Simple Equations Question Bank Linear Equation in one Variable

  • question_answer
    The ages of X and Y are in the ratio 1 : 2. After 8 years, their ages will be in the ratio 3 : 4. The sum of their present ages is

    A)  4 years    

    B)  24 years       

    C)  8 years                        

    D)  12 years

    Correct Answer: A

    Solution :

    (a) Let age of\[X=x\] \[\therefore \]  age of\[Y=2x~\] After 08 years age\[(x)\to x+8\] Age\[(y)\to 2x+8\] Now,\[\frac{x+8}{2x+8}={}^{3}/{}_{4}\Rightarrow 4x+32=6x+24\] \[\Rightarrow \,\,8=2x\] \[4=x\] Cross check by a mathematician Put x = 4 \[\Rightarrow \frac{x+8}{2x+8}=\frac{12}{16}=\frac{3}{4}=3:4\] \[\therefore \] It matches with data in question                    


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