Seema is 5 years older than her younger brother. After 9 years, the sum of their ages will be 53 years. Find their present ages.

Question

Seema is 5 years older than her younger brother. After 9 years, the sum of their ages will be 53 years. Find their present ages.

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Katherine 2 weeks 2021-09-11T11:48:58+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-09-11T11:50:07+00:00

    \sf\huge\blue{\underline{\underline{ Question : }}}

    Seema is 5 years older than her younger brother. After 9 years, the sum of their ages will be 53 years. Find their present ages.

    \sf\huge\blue{\underline{\underline{ Solution : }}}

    Given that,

    • Seema was 5 years older than her younger brother.
    • After 9 years, the sum of their ages will be 53 years.

    To find,

    • Present ages of Seema and her brother.

    Let,

    \bf\red{:\implies Age\:of\:Seema's\:brother= x \:  years. }

    \bf\red{:\implies Age\:of\:Seema= (x + 5)\;years.....(1) }

    According to the Question,

    • Later 9 years, the sum of their ages = 53 years.

    Now,

    \bf\:\implies (x + 9) + (x + 5 + 9) = 53

    \bf\:\implies 2x + 23 = 53

    \bf\:\implies 2x = 53 - 23

    \bf\:\implies 2x = 30

    \bf\:\implies { x = \frac{30}{2}}

    \bf\:\implies x = 15

    ➡ Since, present age of Seema’s brother age = 15 years.

    • Substitute value of x in (1)

    \bf\:\implies 15 + 5

    \bf\:\implies 20

    \underline{\boxed{\bf{\purple{ \therefore Present\:age\:of\:Seema = 20  \: years. }}}}\:\orange{\bigstar}

    \underline{\boxed{\bf{\purple{ \therefore Present\:age\:of\:Seema's\:brother = 15\:years. }}}}\:\orange{\bigstar}

    ______________________________________________________

    0
    2021-09-11T11:50:48+00:00

    EXPLANATION.

    Seema is 5 years older than her younger brother.

    after 9 years the sum of their age will be 53

    .Find their present age.

    Let the age of younger brother = x years.

    Let the age of seema is = x + 5 years.

    After 9 years the sum of their age is 53

    => x + 9 + x + 5 + 9 = 53

    => 2x + 23 = 53

    => 2x = 53 – 23

    => 2x = 30

    => x = 15

    Therefore,

    Present age of younger brother x = 15

    years.present age of seema = x + 5 ; 15 + 5 = 20 years.

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