Math, asked by ravikumarsingarapu76, 9 months ago

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.

Answers

Answered by sakshisingh27

4

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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=5+4

x=13.

###sakshi

Answered by MysticalStar07

9

Answer:

$let \: the \: bigger \: number \: be \: x$

$difference \: between \: 2 \: numbers \: = 8$

$smaller \: number \: = \: x - 8$

$⇒x + 2 = 3(x - 8)$

$⇒x + 2 = 3x - 24$ $⇒2 + 24 = 3x + x$

$⇒26 = 2x$

$⇒ \frac{26}{2} = x$

$⇒x = 13$

$therefore$

$⇒x = 13$

$⇒bigger \: number = 13$

$⇒smaller \: number = 13 - 8$

$⇒smaller \: number \: = 5$

Step-by-step explanation:

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