A grandfather is six times older than his granddaughter. He is also 45 years older than her. Find their present ages​

Question

A grandfather is six times older than his granddaughter. He is also 45 years older than her.

Find their present ages​

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Alice 4 weeks 2021-08-13T13:52:18+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-08-13T13:54:07+00:00

    GIVEN:

    • A grandfather is six times older than his granddaughter.

    • He is also 45 years older than her.

    TO FIND:

    • Their Present ages.

    Now,

    \implies\rm{Let\:the\:granddaughter's\:age\:be\:x}

    \implies\rm{grandfather's\:age = 6x}.

    Atq

    \implies\rm{ x + 45 = 6x}

    \implies\rm{ 5x = 45}

    \implies\rm{ x = \dfrac{\cancel{45}}{\cancel{5}}}

    \implies\rm{ x = 9}

    Therefore,

    \implies\tt{grandaughter's age = 9}

    \implies\tt{ grandfather's age = 6x = 54}

    0
    2021-08-13T13:54:09+00:00

    Step-by-step explanation:

    x+45=6x

    45=6x-x

    45=5x

    the value of x is 9

    granddaughter =9

    grandfather 9×6=54

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