Question

The difference between two whole number is 66.The ratio of two whole number is 2:5.What are the two number.​

Answer 1

AnswEr :

• The required two numbers are 110 and 44 respectively.

Explanation :

We are given with the difference between two numbers as well as the ratio of whole number, that is,

• The difference between two whole number is 66.
• The ratio of two whole number is 2:5.

We are supposed to calculate the two numbers.

Let us assume that, the two numbers be 2x and 5x respectively.

As it is given that, The difference between two whole number is 66. So,

→ First No. - Second No. = 66

→ 5x - 2x = 66

→ 3x = 66

→ x = 66/3

→ x = 22

Now we have also the value of x, now we can easily calculate the two required numbers.

So the required two numbers will be,

• First No. = 5x = 5(22) = 110
• Second No. = 2x = 2(22) = 44

Hence, the required two numbers are 100 and 44 respectively.

Answer 2

$\red{\bigstar}\:\large\underline{\sf{Given\:::}}$

$\:$

» Difference between two numbers is 66

» Ratio of two whole number is 2 : 5

$\:$

$\purple{\bigstar}\:\large\underline{\sf{To\:Find\:::}}$

$\:$

» Two numbers?

$\:$

$\blue{\bigstar}\:\large\underline{\sf{Solution\:::}}$

$\:$

$\underbrace{\underline{\sf{\bigstar\:Understanding\:the\:Question\:::}}}$

$\:$

Here, we are given that difference between two numbers is 66 and the ratio of two numbers is 2 : 5, we have to find two numbers. Firstly let the numbers be 2n and 5n. So, let's solve it now!

$\:$

$\underline{\sf{\bigstar\:According\:to\:the\:Question\:::}}$

$\:$

$\sf \longrightarrow\: 5n - 2n = 66$

$\\ \sf \longrightarrow\: 3n = 66$

$\\ \sf \longrightarrow\: n = {\cancel{\dfrac{66}{3}}}$

$\:$

After cancelling 66 with 3, we get ::

$\:$

$\sf \longrightarrow\:\pink{ n = 22}$

$\:$

Now, we have value of 'n'. So, we can easily find two numbers.

$\:$

Finding first number,

$\:$

$\sf \longrightarrow \: First\:number = 2n$

$\\ \sf \longrightarrow \: First\:number = 2 \:\times\: 22$

$\\ \sf \longrightarrow \: \pink{First\:number = 44}$

$\:$

Finding second number,

$\:$

$\sf \longrightarrow \: Second\:number = 5n$

$\\ \sf \longrightarrow \: Second\:number = 5\:\times\: 22$

$\\ \sf \longrightarrow \: \pink{Second\:number = 110}$

$\:$

$\therefore\:{\underline{\textsf{\textbf{44\:\sf{and}\:{\textsf{\textbf{110}}}\:\sf{are\:required\:two\:numbers}}}}}$

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