Question

The difference between two numbers is 8. If2 is added to the bigger number the result
will be three times the smaller number. Find the numbers.​

Answer 1

Answer:

Step-by-step explanation:

let the biggest number be x

and let the smaller number be y.

Then

x-y=8-------------------------------1

x+2=3y------------------------------2

by subsituition 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=5

putting the value of y in 3

x= 8+5

x=13

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Answer 2

Solution :

Let the bigger number be r & smaller number be m

A/q

$\longrightarrow\sf{r-m=8}\\\\\longrightarrow\sf{r=8+m....................(1)}$

&

$\longrightarrow\sf{r+2=3m}\\\\\longrightarrow\sf{8+m+2=3m\:\:[from(1)]}\\\\\longrightarrow\sf{10+m=3m}\\\\\longrightarrow\sf{m-3m=-10}\\\\\longrightarrow\sf{-2m=-10}\\\\\longrightarrow\sf{m=\cancel{-10/-2}}\\\\\longrightarrow\bf{m=5}$

∴ Putting the value of m in equation (1),we get;

$\longrightarrow\sf{r=8+5}\\\\\longrightarrow\bf{r=13}$

Thus;

The number's will be 13 & 5 .