Question

the difference between two numbers is 8.lf2 is added to the bigger number the result will be three times the smaller numbers . find the number.








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Answer 1

Answer:

numbers are 13 and 5

Explanation:

let the largest number be x and smallest be y,

difference between two numbers is

      x - y = 8..........................equ. ( 1 )

when 2 added to bigger number it become x + 2

& three times the smaller number is 3y

given,

    x + 2 = 3y

  x - 3y  = -2 ..........................equ. (2)

  x - y    = 8 ........................... equ.( 1 )

equ. ( 1 ) - equ.( 2 )⇒ 0 -3y -(-y) = -2 - 8

                                 -3y +y    = -10

                                    -2y      = -10

                                       y      = -10/-2

                                               = 5

from eua, ( 1 ),

 x - y = 8

 x - 5 = 8

 x      = 8 + 5

         = 13

therefore, numbers are 5 and 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.

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

$\sf{15 = 15}$

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