Question

the difference between two whole numberis 69 .the ratio of two number is 4:2. what are the two number.​

Answer 1

$\Large {\underline { \sf \orange{Clarification :}}}$

Here, we are given that the difference between two whole number is 69 and ratio between those numbers are 4x : 2x. We have to find those two numbers.

We'll first assume the two numbers as 4x and 2x. Here, x is constant natural number. Then, we'll form a linear equation according to the provided question. By solving the equation we'll find the value of x. We'll multiply the value of x with 4 and 2 to find the numbers.

$\Large {\underline { \sf \orange{Explication \: of \: steps :}}}$

$\underline{\pmb{ \sf {\maltese \; \; \; Given : \; \; \; }}}$

• The difference between two whole numberis 69.

• The ratio between the two numbers is 4:2.

$\underline{\pmb{ \sf {\maltese \; \; \; To\; calculate : \; \; \; }}}$

• Two numbers.

$\underline{\pmb{ \sf {\maltese \; \; \; Calculations : \; \; \; }}}$

Let the two numbers be 4x and 2x respectively.

$\underline{\tt {\maltese \; \; \; According \: to \: the \: question : \; \; \; }}$

$\longrightarrow$ Difference between two numbers = 69

$\longrightarrow$ 4x - 2x = 69

$\longrightarrow$ 2x = 69

$\longrightarrow$ x = $\sf{ \dfrac{69}{2} }$

$\underline{ \sf {\maltese \; \; \; Finding \: numbers \: : \; \; \; }}$

$\longmapsto$ First number = 4x

$\longmapsto$ First number = 4 × $\sf{ \dfrac{69}{2} }$

$\longmapsto$ First number = 2 × 69

$\longmapsto$ First number = 138

⠀⠀⠀⠀⠀_____________

$\longmapsto$ Second number = 2x

$\longmapsto$ Second number = 2 × $\sf{ \dfrac{69}{2} }$

$\longmapsto$ Second number = 1 × 69

$\longmapsto$ Second number = 69

Therefore,

❝ Two numbers are 138 and 69. ❞

Answer 2

Given:

• the difference between two numbers is 69
• the ratio of two number is 4:2

To Find:

• The values of the two numbers

Solution:

❒ Let's consider the numbers as 4x and 2x

✠According to the question,

⟶ 4x - 2x = 69

⟶ 2x = 69

⟶ x = 69/2

⟶ x = 34.5

★ Now, let's find the numbers:

➢ 2x = 2(34.5) = 69

➢ 4x = 4(34.5) = 138

Hence:

⟶ The numbers are 69 and 138 respectively

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