Tinky Winky is 2 years younger than Laa Laa. If the product of Tinky’s and Laa Laa’s ages is equal to 1 less than 5 times the sum of their a

Question

Tinky Winky is 2 years younger than Laa Laa. If the product of Tinky’s and Laa Laa’s ages is equal to 1 less than 5 times the sum of their ages, how old is Tinky?

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Farah 4 years 2021-08-27T10:06:21+00:00 1 Answers 5 views 0

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    2021-08-27T10:08:13+00:00

    Answer:

    Solution:

    Let

    Tinky’s age=x

    Laa’s age=x+2

    According to the question

    \qquad\quad {:}\longmapsto\sf 5 (x+x+2)-1=x (x+2)

    \qquad\quad {:}\longmapsto\sf 5(2x+2)-1=x^2+2x

    \qquad\quad {:}\longmapsto\sf 10x+5-1=x^2+2x

    \qquad\quad {:}\longmapsto\sf 10x+4=x^2+2x

    \qquad\quad {:}\longmapsto\sf 10x-2x+4=x^2

    \qquad\quad {:}\longmapsto\sf x^2=8x+4

    \qquad\quad {:}\longmapsto\sf x^2-8x-4=0

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