Question

the difference between two numbers is 8.if 2 is added to the bigger number the result will be three times the smaller. find the numbers. (please also explain the solution and add a image if possible)
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Answer 1

Answer:

let the bigger number be x and smaller number be y

given;

x-y=8

x=8+y.......(equation 1)

x+2=3y.....(equation 2)

from 1 and 2..putting 1's value in 2

8+y+2=3y

10=3y-y

2y=10

y=10/2

y=5

from 1

x=8+y

x=8+5

x=13

hence bigger number is 13 and smaller number is 5

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.

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

$\sf{15 = 15}$

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