Question

*If the sum of two whole numbers is 22 and their ratio is 5: 6, what is the difference between the two numbers?*

1️⃣ 22
2️⃣ 1
3️⃣ 2
4️⃣ 0​

Answer 1

Given : sum of two whole numbers is 22 and their ratio is 5: 6,

To Find :   difference between the two numbers

1️⃣ 22

2️⃣ 1

3️⃣ 2

4️⃣ 0​

Solution:

Let say two numbers are  

5K and 6K

Sum = 5K + 6K  = 11K

Difference  = 6K - 5K  = K

sum of two whole numbers is 22

=> 11K = 22

=> K = 2

K is  difference between the two numbers

=>  difference between the two numbers  = 2

difference between the two numbers  is  2

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Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

If the sum of two whole numbers is 22 and their ratio is 5: 6, what is the difference between the two numbers

1. 22

2. 1

3. 2

4. 0

EVALUATION

Here it is given that the whole numbers are in the ratio 5 : 6

Let the whole numbers are 5n and 6n

Now it is given that the sum of two whole numbers is 22

So by the given condition

$\sf{6n + 5n = 22}$

$\sf{ \implies \: 11n = 22}$

$\sf{ \implies \: n = 2}$

So the whole numbers are 10 and 12

Hence the difference between the two numbers

= 12 - 10

= 2

FINAL ANSWER

Hence the correct option is 3. 2

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