Question

Which number should be added to the ratio 3:7 such that it becomes 3:4?

Best Answer Brainleast Marks Select

Answer 1

Answer:

Let the Number added to both be x.

$\underline{\bigstar\:\:\textsf{According to the Question :}}$

$\dashrightarrow\tt\:\:(3+x):(7+x)=3:4\\\\\\\dashrightarrow\tt\:\: \dfrac{(3 + x)}{(7 + x)} = \dfrac{3}{4}\\\\{\scriptsize\qquad\bf{\dag}\:\:\textsf{By Cross Multiplication :}}\\\\\dashrightarrow\tt\:\:4(3 + x) =3(7 + x)\\\\\\\dashrightarrow\tt\:\:12 + 4x =21 + 3x\\\\\\\dashrightarrow\tt\:\:4x - 3x =21 - 12\\\\\\\dashrightarrow\:\:\underline{\boxed{\red{\tt x =9}}}$

⠀

$\therefore\:\underline{\textsf{Number that should be added is \textbf{9}}}.$

Answer 2

$\huge{\bf{\underline{\red{Solution :}}}}$

Let the number be x to be added in the ratio.

∴ (3 + x) : (7 + x ) = 3:4

Therefore ,

$\implies \bold{\frac{3 + x}{7 +x} = \frac{3}{4}}$

$\implies \bold{12 + 4x = 21 + 3x}$

$\implies \bold{4x - 3x = 21 - 12}$

$\implies \boxed{\bold{x = 9}}$

⇒When 9 is added to the ratio 3:7 then it becomes 3:4

$\rule{200}2$

Ratio :

• A ratio is a comparison of two things of same kind .  

• Ratio simple means that dividing the first thing with second quantity .

• In ratio like x :y so here x =  First term and y = Second Term .

Properties of Ratio :

• A Ratio does not exist between two different quantities .

• The order of terms in a ratio is unique .

• In a ratio must always be expressed in its simplest form .

• If the first term and second term of a ratio are multiplied or divide by a non – zero number then , ratio remains unchanged .