The ratio of two numbers is 4:3. If theproduct of these numbers is 432

1.	The ratio of two numbers is 4:3. If theproduct of these numbers is 432, then findthe difference of two numbers.1. 24 2.183. 64. 42
Answer» $\large{\underline{\boxed{\red{\sf{ \: Option (3): 6}}}}}$ ___________________________________ ${\underline{\underline{\sf{ \dag \: Assumption :}}}}$ LET ratio be in X form. So, two numbers are 4x and 3x. ${\underline{\underline{\sf{ \dag \: Given :}}}}$ Numbers :- 4x and 3x Product of these two numbers is 432. ${\underline{\underline{\sf{ \dag \: To \: <klux>FIND</klux> :}}}}$ DIFFERENCE of two numbers. ${\underline{\underline{\sf{ \dag \: Solution :}}}}$ ● Let, first find value of x. ${\sf{ \ratio \longmapsto{4x \times 3x = 432}}} \\ \\ {\sf{ \ratio \longmapsto{12 {x}^{2} = 432}}} \\ \\ {\sf{ \ratio \longmapsto{ {x}^{2} = \dfrac{432}{12} }}} \\ \\ {\sf{ \ratio \longmapsto{ {x}^{2} = 36}}} \\ \\ {\sf{ \ratio \longmapsto{x = \sqrt{36} }}}\\ \\ { \underline{ \boxed{ \green{\sf{ \ratio \longmapsto{x = 6}}}}}}$ ● Now two of these numbers are ${\sf{ (1) \longmapsto{4x = 4(6) = {\boxed{\green{\sf{24}}}}}}} \\ \\ {\sf{ (2) \longmapsto{3x = 3(6) = {\boxed{\green{\sf{18}}}}}}}$ _______________________________________ ● Now, Difference between two numbers is :- $\large{\red{\sf{ \longmapsto{24 - 18 = {\boxed{6}}}}}}$ Difference of two numbers is 6, so option (3) is CORRECT.

The ratio of two numbers is 4:3. If theproduct of these numbers is 432, then findthe difference of two numbers.1. 24 2.183. 64. 42

Answer»

$\large{\underline{\boxed{\red{\sf{ \: Option (3): 6}}}}}$

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${\underline{\underline{\sf{ \dag \: Assumption :}}}}$

LET ratio be in X form.
So, two numbers are 4x and 3x.

${\underline{\underline{\sf{ \dag \: Given :}}}}$

Numbers :- 4x and 3x
Product of these two numbers is 432.

${\underline{\underline{\sf{ \dag \: To \: <klux>FIND</klux> :}}}}$

DIFFERENCE of two numbers.

${\underline{\underline{\sf{ \dag \: Solution :}}}}$

● Let, first find value of x.

${\sf{ \ratio \longmapsto{4x \times 3x = 432}}} \\ \\ {\sf{ \ratio \longmapsto{12 {x}^{2} = 432}}} \\ \\ {\sf{ \ratio \longmapsto{ {x}^{2} = \dfrac{432}{12} }}} \\ \\ {\sf{ \ratio \longmapsto{ {x}^{2} = 36}}} \\ \\ {\sf{ \ratio \longmapsto{x = \sqrt{36} }}}\\ \\ { \underline{ \boxed{ \green{\sf{ \ratio \longmapsto{x = 6}}}}}}$

● Now two of these numbers are

${\sf{ (1) \longmapsto{4x = 4(6) = {\boxed{\green{\sf{24}}}}}}} \\ \\ {\sf{ (2) \longmapsto{3x = 3(6) = {\boxed{\green{\sf{18}}}}}}}$

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● Now, Difference between two numbers is :-

$\large{\red{\sf{ \longmapsto{24 - 18 = {\boxed{6}}}}}}$

Difference of two numbers is 6, so option (3) is CORRECT.