Question

$\large\mathcal{\color{maroon}{Refer\:the\: attachment♡}}$

$\small\mathcal{\underline{\color{olive}{Note:-}}}$

$\implies$ Solve all the questions if possible , or any two of them .

$\implies$ Pardon my handwriting , hope uh ll manage .
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Answer 1

Question 01 :

$\longrightarrow$ 24 is divided into such parts that 7 times the first part added to 5 times the second part , makes 146 . Find the each part.

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Answer :

$\longrightarrow$ Let the first part be $\bold{x}$

$\longrightarrow$ Let the second part be $\bold{y}$

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$\large\mathcal{\underline{๏|According\:to\:question:-}}$

$\implies$ x + y = 2y ( y = 24 - x )

$\implies$ 7x + 5y = 146

$\implies$ 7x + 5 ( 24 - x ) = 146

$\implies$ 7x + 120 - 5x = 146

$\implies$ 2x = 146 - 120

$\implies$ 2x = 26

$\implies$ x = $\large\cancel{\frac{26}{2}}$

$\implies$ $\large{\underline{\color{olive}{x\:=\:13}}}$

$\implies$ y = 24 - x

$\implies$ y = 24 - 13

$\implies$ $\large{\underline{\color{olive}{y\:=\:11}}}$

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Therefore , x = 13 and y = 11

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Question 02 :

$\longrightarrow$ Sunita's mother's present age is six times Sunita's present age . Sunita's age 5 years from now will be one third of her mother's present age . What are thier present ages ?

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Answer :

$\longrightarrow$ Let the present age of sunita be $\bold{x}$ yrs .

$\longrightarrow$ Sunita's mother's present age is six times that of Sunita's age .

$\longrightarrow$ Sunita's mother's present age = 6x yrs

$\longrightarrow$ After 5 yrs Sunita's age = ( x + 5 ) yrs .

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$\large\mathcal{\underline{๏|According\:to\:question:-}}$

Sunita's age 5 years from now will be $\large\mathtt{\frac{1}{3}}$ of her mother's present age .

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$\implies$ x + 5 = $\large\mathtt{\frac{1}{3}}$ ( 6x )

$\implies$ x + 5 = 2x

$\implies$ 2x - x = 5

$\implies$ $\large{\underline{\color{olive}{x\:=\:5}}}$

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Therefore ,

Sunita's present age = 5 yrs

mother's present age = 30 yrs .

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Question 03 :

$\longrightarrow$ I'm thinking of a mystery number . Three more than six times the number is equal to three times the number plus 9 . what's my mystery number ?

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Answer :

$\longrightarrow$ Let the mystery number be x

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$\large\mathcal{\underline{๏|According\:to\:question:-}}$

Three more than six times the number is equal to 3 times the number plus 9 .

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$\implies$ 6x + 3 = 3x + 9

$\implies$ 6x - 3x = 9 - 3

$\implies$ 3x = 6

$\implies$ x = $\large\mathtt{\frac{6}{3}}$

$\implies$ $\large{\underline{\color{olive}{x\:=\:2}}}$

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Therefore , the mystery number is 2

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Answer 2

Answer:

solution--1=Let the first part be \bold{x}x

\longrightarrow⟶ Let the second part be \bold{y}y

\:

\large\mathcal{\underline{๏|According\:to\:question:-}}

๏∣Accordingtoquestion:−

\implies⟹ x + y = 2y ( y = 24 - x )

\implies⟹ 7x + 5y = 146

\implies⟹ 7x + 5 ( 24 - x ) = 146

\implies⟹ 7x + 120 - 5x = 146

\implies⟹ 2x = 146 - 120

\implies⟹ 2x = 2

\implies⟹ \large{\underline{\color{olive}{x\:=\:13}}}

x=13

\implies⟹ y = 24 - x

\implies⟹ y = 24 - 13

\implies⟹ \large{\underline{\color{olive}{y\:=\:11}}}

y=11

Therefore , x = 13 and y = 11

Step-by-step explanation:

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