Question

The ratio of two numbers is 1:03 and their sum is 240, then what is their difference?​

Answer 1

Given :

• The ratio of two numbers is 1:3
• Sum of the numbers = 240

To Find :

• Their difference.

Calculation :

Assumption: Let us assume the first number as 1x and the second number as 3x.

$: \implies \rm 1x + 3x = 240$

By adding the numbers,

$: \implies \rm 4x = 240$

Transposing 4 to R.H.S and performing division,

$: \implies \rm x = \cancel\dfrac{240}{4}$

On dividing, we get,

$: \implies \underline{ \underline{ \boxed{\rm{x = 60}}}} \blue{\bigstar}$

$\dag \: \underline{ \underline{ \sf{Calculating \: the \: difference :}}}$

For calculating the difference, we need to multiply the ratios with the value of x.

$: \implies \rm 1x = 60 \times 1 = 60$

$: \implies \rm 3x = 60 \times 3 = 180$

In order to get the final result, we need to subtract 60 from 180,

$: \implies \rm 180 - 60$

On subtracting the numbers,

$: \implies \underline{ \underline{ \boxed{\rm{Difference = 120}}}} \pink{\bigstar}$

Therefore, their difference is 120.

Answer 2

Given :

✰ The Ratio of two numbers is 1:3

✰ Sum of their numbers is 240

To Find :

✰ What is the difference

Solution :

✰ As in the question the ratio of two numbers is given that is 1:3. So,we will let the numbers be 1y and 3y and sum of their numbers is 240. Firstly we will find the two required numbers and then we can easily find the difference in number.

• Let First Number = 1y

• Let other Number = 3y

→ 1y + 3y = 240

→ 4y = 240

→ y = 240/4

→ y = 60

• First Number = 60

• Other Number = 60*3 = 180

Now, Finding Difference

→ 180 - 60

→ 120

∴Their Difference is 120