Question

The difference between the two numbers is 8. If 2 is added to bigger number the result will be three times the smaller number. Find the numbers.

Answer 1

Answer:

5 and 13

Explanation:

let's take the 2 numbers as x and y. With the smaller one being y

3y = x+2

x - y = 8

Lets take the numbers as 5 and 13

3(5) = 13 + 2

15 = 15

13 - 5 = 8

8 = 8

Answer 2

Explanation:

Smaller Number = 5

Larger Number = 13

Given:

After adding 2 to bigger number the result will be 3 times the smaller number.

Solution: Let the larger and smaller number be x and y respectively. Therefore,

x – y = 8

x = 8 + y.......(i)

A/q

After adding 2 to bigger number the result will be 3 times the smaller number.

⟹ x + 2 = 3(y)

⟹ 8 + y + 2 = 3y

⟹ 10 + y = 3y

⟹ 10 = 3y – y

⟹ 10 = 2y

⟹ 10/2 = y

⟹ 5 = y

So, the two numbers are

• Smaller number is y = 5
• Larger number is x = 8 + 5 = 13

✡[ Verification ]✡

Adding 2 to 13 then we will get result as 3 times of 5.

13 + 2 = 3(5)

15 = 15

hence,

✔verified.✔