Question

the difference between two is 8.if 2is added to the bigger number the result will be three times the smaller number.find the number​

Answer 1

Step-by-step explanation:

let the two number be X and y

X + y = 8

let x be the bigger number and y be the smaller number

X+2 =3y

x=3y-2

3y-2+y=8

4y-2=8

4y=8+2

y=10÷4

y=2.5

x+y=8

x+2.5=8

x=8-2.5

x=5.5

Answer:

the two numbers are 5.5 and 2.5

Answer 2

$\huge\sf\underline{\pink{An}\red{sW}\orange{Er}}$

✬ 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.

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

$\sf{15 = 15}$

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