Question

Two numbers are in the ratio 5:3.If they differ by 18 find the numbers​

Answer 1

The numbers are :

• The first number = 45.
• The second number = 27.

Given :

• The ratio of the two numbers = 5 : 3.
• The difference between both the numbers = 18.

To Find :

• The numbers.

Solution :

Let,

The first number be 5x.

The second number be 3x.

According to the question,

The difference between the both numbers is 18.

$: \implies \rm 5x - 3x = 18 \\ \\ : \implies \rm 2x = 18 \\ \\ : \implies \rm x = \frac{18}{2} \\ \\ : \implies \rm x = 9 \\ \\ \: \: \therefore \: \: \rm x = 9 \\ \\ \\ \sf So \: the \: two \: numbers \: are : \\ \\ \sf \star \: \: The \: first \: number = 5x = 5 \times 9 = 45 \\ \sf \star \: \: The \: second \: number = 3x = 3 \times 9 = 27$

Verification :

The difference between both numbers is 18.

Now we have,

$\bullet \: \: \rm The \: first \: number \: (5x) = 45 \\ \bullet \: \: \rm The \: second \: number \: (3x) = 27$

$: \implies \rm 5x - 3x = 18 \\ \\ : \implies \rm 45 - 27 = 18 \\ \\ : \implies \rm 18 = 18$

Hence Verified !