Question

The difference of two numbers is 9 and they are in the ratio 4:7.find The numbers​

Answer 1

❖ Question -:

The difference of two numbers is 9 and they are in the ratio 4 : 7. Find the numbers.

❖ Step-by-step explanation -:

In this question we are provided with the ratio of two numbers that is 4 : 7 and it is also given that the difference between two numbers is 9. We are asked to calculate the two numbers.

`\small \purple{ \underline{ \underline{\rm{ First \: we \: will \: form \: an \: equation }}}}`

Let us assume the number as 4x and 7x.

It is given that the difference is 9

According To Question

`\small \blue{\sf{7x - 4x = 9}}`

`\small \green{ \underline{ \underline{\rm{ Now \: we \: will \: solve \: this \: equation \: and \: find \: the \: value \: of \: x}}}}`

Let us solve this equation

`\small\sf{7x - 4x = 9}`

`⟹ \small\rm{3x = 9}`

`⟹ \small\rm{x = \frac{ \cancel{9} \: \: 3}{ \cancel{3}} }`

`\small\sf{x = 3}`

Substitute the value of x = 3

7x = 7 × 3 = 21

4x = 4 × 3 = 12

Hence the two numbers are 21 and 12.

Answer 2

`\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}`

• Given - the difference between two numbers is 9 and the numbers are in the ratio of 4:7

• To find - the numbers

Let the number be 4x and 7x respectively !

Then ,

`\bold{7x - 4x = 9} \\ \\ \bold{\longrightarrow \: 3x = 9} \\ \\ \bold{\longrightarrow \: x = \cancel(9)/(3)} \\ \\ \bold{\longrightarrow \: x = 3}`

therefore ,

first number = 4x = 4 × 3 = 12

second number = 7x = 7 × 3 = 21

hope helpful ~