the difference between 2 womens is 10 years. 15 years ago, if the elder was twice as old as the younger one. find their present ages​

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the difference between 2 womens is 10 years. 15 years ago, if the elder was twice as old as the younger one. find their present ages​

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Cora 5 days 2021-10-10T01:32:06+00:00 2 Answers 0 views 0

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    2021-10-10T01:33:20+00:00

    \sf{\underline{\red{\underline{\orange{Question:-}}}}}

    the difference between 2 womens is 10 years. 15 years ago, if the elder was twice as old as the younger one. find their present ages

    \sf{\underline{\red{\underline{\orange{Solution:-}}}}}

    • Let the present age of younger women be = x
    • Present age of elder women be = x+10

    ★ Age of younger women after 15 years ago=\sf x-15

    ★ Age of elder women 15year ago = \sf x+10-15 , x= -5

    Now,

    According to question

    \sf→ 2(x-15)= x -5\\\sf→ 2x-30= x-5\\\sf→ 2x-x= 30-5\\\sf→ x=25

    Hence,

    • Present age of younger women = 25 years
    • Present age of elder women = x+10 , 25+10 = 35 years
    0
    2021-10-10T01:34:00+00:00

    Given :

    • The difference of ages between 2 women is 10 years.
    • 15 years ago, the elder was twice as old as the younger one.

    To find :

    • Their present ages.

    Solution :

    Consider,

    • Present age of elder one = m years
    • Present age of younger one = n years

    {\underline{\sf{According\: to\: the\:1st\: condition:-}}}

    • The difference of ages between 2 women is 10 years.

    \to\sf{m-n=10}

    \to\sf{m=10+n...................(i)}

    {\underline{\sf{According\: to\: the\:2nd\: condition:-}}}

    • 15 years ago, the elder was twice as old as the younger one.

    15 years ago,

    • Age of elder one = (m-15) years
    • Age of younger one = (n-15) years

    \to\sf{m-15=2(n-15)}

    \to\sf{m-15=2n-30}

    \to\sf{10+n-15=2n-30\:[put\:m=10+n\: from\:eq(1)]}

    \to\sf{-5+n=2n-30}

    \to\sf{n-2n=-30+5}

    \to\sf{-n=-25}

    \to\sf{n=25}

    • Present age of younger one = 25 years

    Now, put n = 25 in eq(1) for getting the value of m.

    \to\sf{m=10+n}

    \to\sf{m=10+25}

    \to\sf{m=35}

    • Present age of elder one = 35 years

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