Important word problems on Linear Equations in two variables 10


Question for practice
The following questions are more helpful for class tenth students for all boards.

Questions 10.    The ratio of Ram’s age to the age of his mother is 3 : 11. The difference of their ages is 24 years. What will be the ratio of their ages after 3 years?

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Comments

  1. Ans. Let Ram's present age = x years
    Let mother's present age = y years
    x/y = 3/11
    or 11x-3y = 0 ........(1)
    y-x =24
    or -x+y = 24 .........(2)
    by elimination from (1) and (2),
    x = 9
    y = 33
    therefore, Ram's present age = 9 years
    Mother's present age = 33 years
    hence, ratio of their ages after 3 years,
    x+3/y+3 = 9+3/33+3 = 12/36 = 1/3
    = 1:3

    ReplyDelete
  2. Rams age :x yrs. Motherd age : y yrs
    equations: 11x-3y=0
    y-x=24

    Value of x= 9 y=33
    Ages fter 3 yrs. Rams age x+3 moms age y+3

    Ratio 1:3

    ReplyDelete
  3. Rams age :x yrs. Motherd age : y yrs
    equations: 11x-3y=0
    y-x=24

    Value of x= 9 y=33
    Ages fter 3 yrs. Rams age x+3 moms age y+3

    Ratio 1:3

    ReplyDelete
  4. Let Ram's present age be x years
    Let mother's present age be y years
    x/y = 3/11
    or 11x-3y =0 (1)
    y-x =24
    or -x+y = 24 (2)
    multiply (2) by 3
    -3x+3y=72
    by eliminating (1) and (2),
    x = 9
    y = 33
    therefore, Ram's present age = 9 years
    Mother's present age = 33 years
    hence, ratio of their ages after 3 years,
    x+3/y+3 = 9+3/33+3 = 12/36 = 1/3
    = 1:3

    ReplyDelete
  5. ratio of ages of ram and his mother=3:11
    let age of ram=3x
    let age of ram's mother=11x
    11x-3x=24
    8x=24
    x=24/8=3
    age of ram=3x=3X3=9yrs
    age of ram's mother=11x=11X3=33yrs
    after 3yrs,
    age of ram=9+3=12yrs
    age of ram's mother=33+3=36yrs
    ratio=12:36=1:3

    ReplyDelete

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