Question

the difference of two numbers is 9 and they are im the ratio of 4 : 7. Find the number​

Answer 1

$\huge\red{\underline\orange{\underline\purple{Given}}}$

• The difference of two numbers is 9.

• Two numbers are in the ratio of 4:7.

$\huge\red{\underline\orange{\underline\purple{To Find}}}$

• Two numbers=?

$\huge\red{\underline\orange{\underline\purple{Solution}}}$

let that two numbers be x and y.

• let x as a greater number.

• Let y as a smaller number.

Therefore,

From First Condition,

x-y=9......... (1)

: . x=9+y

From Second condition,

y/x=4/7

: . 7y=4x

: . 7y=4(9+y)

: . 7y=36+4y

: . 7y-4y=36

: . 3y=36

: . y=36/3

: . y=12

Now substitute the value of y in (1) ,

: . x-y=9

: . x-12=9

: . x=21

Therefore, the two numbers are 12 and 21.

$\huge\pink{\underline\orange{\underline\red{@TheGoldenRose}}}$

Answer 2

Answer:

Given :

• The difference of 2 numbers is 9

• Ratio of the numbers is 4:7

Let the numbers be 4x and 7x,

( substitute in Equation )

= 4x - 7x = 9 ( 7-4 )

= 3x = 9

= x = 9 / 3

= x = 3

So, x = 3.

Then :

= 4x

= 4 × 3

= 12

= 7x

= 7 × 3

= 21

So, the numbers are 21 and 12.

Let's Verify :

= 21 - 12 = 9

= 9 = 9

So, The difference is 9 .

∴ LHS = RHS

Thus Solved !!