Question

:31
1
Q3. Two numbers are in the ratio
5:3. If they differ by 18, what are the
numbers? *​

Answer 1

Given :-

Ratio of the two numbers = 5 : 3

Difference of the numbers = 18

To Find :-

The first number.

The second number.

Analysis :-

Take the common ratio as an variable and the two sides would be the variable multiplied by the ratio of each.

Make an equation and get the value of the variable.

Substitute the value got by the two sides and find the sides accordingly.

Solution :-

Let the common ratio be x. Then the two sides would be 5x and 3x respectively.

Given that,

Ratio = 5 : 3

Difference = 18

Making an equation,

$\sf 5x - 3x = 18$

$\sf 2x = 18$

Finding the value of x,

$\sf x=\dfrac{18}{2}$

$\sf x=9$

Therefore, the value of x is 9.

Finding the two numbers,

$\sf 5x = 5 \times 9 = 45$

$\sf 3x = 3 \times 9 = 27$

Therefore, the two numbers are 45 and 27.

Answer 2

Question:-

Two numbers are In the ratio 5:3 .If they differ by 18, What are the numbers?

Answer:-

Given,

$\implies$ Two numbers are in the ration = 5:3

$\implies$ The two numbers differ by 18

To Find,

$\implies$ The two number.

Calculations,

According to the question,

Two numbers are in the ratios 5:3

Let,

Common ratio = Y

Now,

5y-->{1}

3y---->{2}

Let's make an equation:-

5y - 3y = 18

$\implies$ 2y = 18

$\implies$ Y = $\dfrac{18}{2}$

$\implies$ Y = 9 -->(3)

Now,

We need to substitute the Y value in equation (1) and (2)

Finding the value of "Y"

5y = 5×9 = 45

3y = 3×9 = 27

So,

$\implies$ The first number = 45

$\implies$ The second number = 27

Two numbers are in the ratio 5:3 they differ by 18 the two numbers are 45 and 27.

-Happies!!