Question

The difference between two whole numbers is 33.The ratio of the two numbers is 2:5. What

are the two numbers ?​

Answer 1

Question:

• The difference between two whole numbers is 33.The ratio of the two numbers is 2:5. What are the two numbers?

Answer:

• The two numbers are 55 and 22.

Explanation:

Given that:

• The difference between two whole numbers is 33.
• The ratio of the two numbers is 2:5.

To Find:

• What are the two numbers?

Solution:

• Let numbers be 2x and 5x

According to the question,

• Difference of that two numbers is 33.

Therefore,

➜ $\sf 5x - 2x = 33$

➜ $\sf 3x = 33$

➜ $\sf x = {\cancel{\dfrac{33}{3}}}$

➜ $\bf\purple{x = 11}$

Hence,

➻ First number = 5x

➻ First number = 5 × 11

➻ First number = 55

Also,

➻ Second number = 2x

➻ Second number = 2 × 11

➻ Second number = 22

∴ The two numbers are 55 and 22.

Let's Verify :-

We know that,

⇒ $\sf 5x - 2x = 33$

Put x = 11 in above equation we get,

⇒ $\sf (5 \:\times\: 11) - (2 \:\times\: 11) = 33$

⇒ $\sf 55 - 22 = 33$

⇒ $\sf 33 = 33$

➠ $\bf\red{LHS = RHS}$

Hence, Verified ✔

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Answer 2

Answer:

The two whole numbers are 22 and 55.

Step-by-step explanation:

Given:

The difference between two whole numbers is 33.

The ratio of the two numbers = 2:5.

To Find:

The two whole numbers.

Solution:

Let,

Both numbers be 2x and 5x.

According to the question,

The difference between two whole numbers is 33.

That means,

=> 5x-2x = 33

=> 3x = 33

=> x = 33/3

=> x = 11

So, the value of x is 11.

Now, we have to find the first and second numbers.

The first number = 2x = 2*11 = 22.

The second number = 5x = 5*11 = 55.