Question

replace dash in the each of the following by the correct number:

​

Answer 1

Answer:

20 will be in blanks

as,45÷3=15

and60÷3=20.

hope it helps.

Answer 2

Answer:

Question :

${\dashrightarrow{\sf{\dfrac{45}{60} = \dfrac{15}{ \square}}}}$

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

Solution :

${\dashrightarrow{\sf{\dfrac{45}{60} = \dfrac{15}{ \square}}}}$

Let the denominator be x.

${\dashrightarrow{\sf{\dfrac{45}{60} = \dfrac{15}{\boxed{\sf{x}}}}}}$

${\dashrightarrow{\sf{\dfrac{45}{60} = \dfrac{15}{x}}}}$

By cross multiplication.

${\dashrightarrow{\sf{x(45) = 15(60)}}}$

${\dashrightarrow{\sf{x \times 45= 15 \times 60}}}$

${\dashrightarrow{\sf{45x=900}}}$

Transposing –15 from LHS to RHS.

${\dashrightarrow{\sf{x=900 \div 45}}}$

${\dashrightarrow{\sf{x= \dfrac{900}{45}}}}$

Dividing 900 by 45.

${\dashrightarrow{\sf{x= \cancel{\dfrac{900}{45}}}}}$

${\dashrightarrow{\sf{\underline{\underline{x=20}}}}}$

∴ The answer is 20.

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

Verification :

${\dashrightarrow{\sf{\dfrac{45}{60} = \dfrac{15}{ \square}}}}$

Substuting the value.

${\dashrightarrow{\sf{\dfrac{45}{60} = \dfrac{15}{20}}}}$

Simplifying the terms.

${\dashrightarrow{\sf{\cancel{\dfrac{45}{60}} = \cancel{\dfrac{15}{20}}}}}$

${\dashrightarrow{\sf{\dfrac{3}{4} = {\dfrac{3}{4}}}}}$

${\dashrightarrow{\sf{\underline{\underline{LHS = RHS}}}}}$

∴ Hence Verified!

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