Question

The ratio of two numbers is 7:4 and their difference is 57.
The numbers are ____.

Answer 1

From the given question the correct answer is:

the numbers will be 133 and 76

Given :

The difference between two number is 57.

the ratio between the two numbers is 7:4

To find:

numbers

solution:

Let, the number will be 7x and 4x

it is given that The difference between the two numbers is 57.

so, 7x-4x=57

       3x=57

        x=57/3

        x=19

the number will be 7×19=133

and 4×19=76

Hence , the numbers will be 133 and 76

Answer 2

Given : the ratio of two numbers are 7:4 and their difference is 57.

❍ Let's say that the numbers are 7n and 5n

⠀⠀⠀⠀⠀⠀⠀____________________

$\mathfrak{ \underline{ \dag \: According \: to \: the \: question \: : }}$

• Here, the equation will be 7n - 4n and difference between them is given 57.

$\:$

$\sf : \implies \: 7n - 4n = 57$

$\:$

$\sf : \implies \: 3n = 57$

$\:$

$\sf : \implies \: n = \cancel \dfrac{57}{3}$

$\:$

$\sf : \implies \: \bold{ n = 19}$

$\:$

Now, put the value of n into the numbers.

$\:$

• 7n = 7(19) = 133
• 4n = 4(19) = 96

$\:$

$\sf\therefore{\underline{Hence, \: the \: numbers \: are \: \bold{133} \: and \: \bold{96} \: respectively.}}$