Question

Construct linear equation for the following statement:Two numbers are in the ratio 5 : 7 and sum of the numbers is 120 * 1 point a) 5x + 7 x = 120 b) 5x - 7x =120 c) x⁄5 + x⁄7 = 120 d) None of the above​

Answer 1

Answer:

50 and 70

5 : 7=120

5+7 =12

120 / 12 =10

10 * 5=50 and 10 * 7=70

Final answer= 50 and 70

(*) means times

(/) means divide

Answer 2

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.

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⚘ 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.

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⚘ 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!

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