Question

the difference between two 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 friend your answer is here
$let \: the \: bigger \: number \: be \: x \\ and \: smaller \: number \: be \: y \\ according \: to \: question \\ x - y = 8 \\ x = 8 + y \\ 2 + x = 3y \\ 2 + 8 + y = 3y \\ 10 + y - 3y = 0 \\ - 2y = - 10 \\ y = 5 \\ x = 8 + y \\ = 8 + 5 \\ = 13$

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.

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

$\sf{15 = 15}$

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