Question

two-thirds of a number is 5 more than half of it. What is the number?​

Answer 1

may. this answer will help you

Answer 2

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$\huge{\underline{\underline{\sf{\blue{SOLUTION:-}}}}}$

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$\sf{\underline{\green{AnswEr:-}}}$

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• The required number = 30

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$\sf{\underline{\green{Given:-}}}$

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• Two-thirds of a number is 5 more than half of it.

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$\sf{\underline{\green{Find:-}}}$

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• The required number = ?

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$\sf{\underline{\green{Explanation:-}}}$

• Let the required number be y.

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$\sf{\underline\purple{Then,A.T.Q:-}}$

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$\longrightarrow \sf {\dfrac{2}{3} \times y = \dfrac{1}{2} \times y + 5}$

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$\longrightarrow \sf {\dfrac{2y}{3} = \dfrac{y}{2} + 5}$

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$\longrightarrow \sf {\dfrac{2y}{3} = y + \dfrac{10}{2}}$

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$\longrightarrow \sf {2y \times 2 = 3 \times (y + 10)}$

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$\longrightarrow \sf {4y = 3y + 30}$

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$\longrightarrow \sf {4y - 3y = 30}$

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$\longrightarrow{\gray{ \underbrace{\boxed{\underline{\underline{\blue{ \tt y = 30 }}}}}}}$

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$\:\:\:\:\dag\bf{\underline{\underline \red{Hence:-}}}$

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• The required number is 30.

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$\rule{200}{2}$