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 numbers.

Answer 1

Let the bigger number be x and smaller number be y.

so

x-y=8_________1

x+2=3y_________2

by substitution method

x=8+y  (from 1)________3

putting the value of 1 in 2

8+y+2=3y

10=3y-y

10=2y

y=10/2

y=5

putting the value of y in 3

x=5+4

x=13.
$= = = = = = = = = = =$

Thanx

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.

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

$\sf{15 = 15}$

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