Question

the difference bet ween 2 numbers is 8. if 2 is added to the bigger number the result will be three times the smaller number . find the number

Answer 1

Hey ❗

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↪Let the numbers be x and y where x is larger

↪According to the question :-

↪x - y = 8

↪x + 2 = 3y

↪Now, Solving both the equations

↪x = 8 + y

↪Put value of x in other equation

↪( 8 + y ) + 2 = 3y

↪8 + 2 + y - 3y = 0

↪10 - 2y = 0

↪- 2y = -10

↪y = 5

↪Hence :- x = 8 + y

↪x = 8 + 5

↪x = 13

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Answer 2

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✬ 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.

${\rm }⟹ x + 2 = 3(y)$

${\rm }⟹ 8 + y + 2 = 3y$

${\rm }⟹ 10 + y = 3y$

${\rm }⟹ 10 = 3y – y$

${\rm }⟹ 10 = 2y$

${\rm }⟹ 10/2 = y$

${\rm }⟹ 5 = y$

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.

$\sf{13 + 2 = 3(5)}$

$\sf{15 = 15}$

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