Question

the difference between two numbers is 8 if 2is added to the bigger number the result will be three times the smaller number. find the number​

Answer 1

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larger number = 13

Smaller number = 5

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given that

The difference between the Number 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,

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

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

subtracting (2) from (1)

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

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

$2y = 10$

$y = \frac{10}{2}$

$y = 5$

from (1)

$x - y = 8$

putting the value of y

$x - 5 = 8$

$x = 8 + 5$

$x = 13$

$y = 5$

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

Answer 2

Step-by-step explanation:

Large number is = 13

Small number = 15

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