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

Answer:

let one number is x

difference between the two numbers is 8 given

then another number is 8-x

Step-by-step explanation:

2 is added to 8-x

=8-x+2

three times of bigger number 3(x)

8-x+2=3(x)

8-x+2=3x

10-x=3x

10=3x+x

10=4x

x=4÷10

x=2\5

Answer 2

Answer:

Larger number = 13

Smaller number = 5

Step by step explanations:

given that,

The difference between two numbers is 8.

let one number be x

and another number be y

difference of digits = 8

so,

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

also given that,

If 2 is added to the bigger number the result

will be three times the smaller number .

let the bigger number x

so,

According to the question,

we have,

x + 2 = 3y

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

now,

we have,

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

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

substracting (2) from (1)

x - y - (x - 3y) = 8 - (-2)

x - y - x + 3y = 8 + 2

2y = 10

y = 10/2

y = 5

from (1)

x - y = 8

putting the value of y

x - 5 = 8

x = 8 + 5

x = 13

y = 5

so,

Larger number = 13

Smaller number = 5