Question

Construct linear equation for the following statement:Two numbers are in the ratio 5 : 7 and sum of the numbers is 120 .​

Answer 1

Answer:

Let the numbers be x each

that is if they are in a particular Ratio

then we must use any variable for finding the value

that is

5x and 7x

And

Answer is

5x+7x=120

Value of X

5x+7x=120

12x=120

x=120/12

x=10

Hope it helps

Answer 2

Answer:

Question :

Construct linear equation for the following statement:Two numbers are in the ratio 5 : 7 and sum of the numbers is 120.

$\begin{gathered}\end{gathered}$

Solution :

⚘ Here :-

• Let the numbers be 5x and 7x.

━┅━┅━┅━┅━┅━┅━┅━┅━┅━

⚘ According to the question :-

${\dashrightarrow{\sf{Sum \: of \: numbers = 120}}}$

${\dashrightarrow{\sf{5x + 7x = 120}}}$

${\dashrightarrow{\sf{12x = 120}}}$

${\dashrightarrow{\sf{x = 120 \div 12}}}$

${\dashrightarrow{\sf{x = \dfrac{120}{12}}}}$

${\dashrightarrow{\sf{x = \cancel{\dfrac{120}{12}}}}}$

${\dashrightarrow{\sf{x = 10}}}$

${\dashrightarrow{\underline{\boxed{\sf{\pink{x = 10}}}}}} \: \bigstar$

∴ The value of x is 10.

━┅━┅━┅━┅━┅━┅━┅━┅━┅━

⚘ Hence :-

• 5x = 5×10 = 50
• 7x = 7×10 = 70

∴ The numbers are 50 and 70.

$\begin{gathered}\end{gathered}$

Verification :

${\dashrightarrow{\sf{Sum \: of \: numbers = 120}}}$

${\dashrightarrow{\sf{5x + 7x = 120}}}$

${\dashrightarrow{\sf{50 + 70 = 120}}}$

${\dashrightarrow{\sf{120 = 120}}}$

${\dashrightarrow{\underline{\boxed{\sf{\pink{LHS = RHS}}}}}} \: \bigstar$

∴ Hence Verified!

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬