Question

the difference between two numbers is 8. if 2 is added to the bigger number the results will be three times the smaller number find the number
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Answer 1

Answer:

the Number is 2

Explanation:

2×4=8

4+2=6

6÷2=3

Answer 2

✬ Smaller Number = 5 ✬

✬ Larger Number = 13 ✬

Explanation:

Given:

• Difference of two numbers is 8.
• After adding 2 to bigger number the result will be 3 times the smaller number.

To Find:

• What is the 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.

$\implies{\rm }$ x + 2 = 3(y)

$\implies{\rm }$ 8 + y + 2 = 3y

$\implies{\rm }$ 10 + y = 3y

$\implies{\rm }$ 10 = 3y – y

$\implies{\rm }$ 10 = 2y

$\implies{\rm }$ 10/2 = y

$\implies{\rm }$ 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

$\large\bold{\texttt {Verified }}$