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

Given :

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

To Find :

• Two numbers .

Solution :

$\longmapsto\tt{Let\:first\:number\:be=5x}$

$\longmapsto\tt{Let\:second\:number\:be=2x}$

A.T.Q :

$\longmapsto\tt{5x-2x=33}$

$\longmapsto\tt{3x=33}$

$\longmapsto\tt{x=\cancel\dfrac{33}{3}}$

$\longmapsto\tt\bf{x=11}$

Value of x is 11 .

Therefore :

$\longmapsto\tt{First\:Number=5(11)}$

$\longmapsto\tt\bf{55}$

$\longmapsto\tt{Second\:Number=2(11)}$

$\longmapsto\tt\bf{22}$

So , The two numbers are 55 and 22 .

VERIFICATION :

$\longmapsto\tt{5x-2x=33}$

$\longmapsto\tt{5(11)-2(11)=33}$

$\longmapsto\tt{55-22=33}$

$\longmapsto\tt\bf{33=33}$

HENCE VERIFIED

Answer 2

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 2n and 5n

According to the question,

• Difference between that two numbers is 33.

Therefore,

➻ $\sf 5n - 2n = 33$

➻ $\sf 3n = 33$

➻ $\sf n = {\cancel{\dfrac{33}{3}}}$

➻ $\bf \red{n = 11}$

Hence,

➜ First number = 5n

➜ First number = 5 × 11

➜ First number = 55

Also,

➜ Second number = 2n

➜ Second number = 2 × 11

➜ Second number = 22

∴ The two numbers are 55 and 22.

Let's Verify :-

We know that,

↦ $\sf 5n - 2n = 33$

Put n = 11 in above equation we get,

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

↦ $\sf 55 - 22 = 33$

↦ $\sf 33 = 33$

➦ $\bf\purple{LHS = RHS}$

Hence, Verified ✔

Learn more on brainly :-

★ Q U E S T I O N ::

• The product of two numbers is 10000. If one number is 16 times the other numbers. Find the two numbers.

★ A N S W E R ::

• brainly.in/question/43549905

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