Math, asked by mohdaaish2887, 2 months ago

x:y=8:3 and x+y=99 work out the value of x-y

Answers

Answered by tennetiraj86
9

Step-by-step explanation:

Given :-

x:y = 8:3

x+y = 99

To find :-

The value of x-y

Solution :-

Given that

x:y = 8:3

It can be written as

x/y = 8/3

On applying cross multiplication then

=> 3x = 8y

=> 3x-8y = 0 --------------(1)

and given that

x+y = 99 ----------(2)

=>x = 99-y ------(3)

On substituting the value of x in (1) then

3(99-y) -8y = 0

=> 297-3y-8y = 0

=> 297-11y = 0

=> 297 = 11y

=> 11y = 297

=> y = 297/11

=> y = 27

Therefore, y = 27

On substituting the value of y in (3) then

x = 99-27

=> x = 72

Therefore, x = 72

Now,

x-y = 72-27 = 45

Therefore, x-y = 45

Answer:-

The value of x-y for the given problem is 45

Check:-

If x = 72 and y = 27 then x/y

=> 72/27

=> x/y = (8×9/(3×9)

=> x/y = 8/3

=> x:y = 8:3

and

x+y = 72+27 = 99

Therefore, x+y = 99

Verified the given relations in the given problem.

Used formulae:-

a:b can be written as a/b

Answered by kvalli8519
7

Given :

x : y = 8 : 3

⇒ x/y = 8/3

⇒ 3x - 8y = 0 - - - - (1)

x + y = 99

⇒ x = 99 - y - - - - (2)

To Find :

value of x - y

Solution :

substitute (2) in (1), we get

⇒ 3(99 - y) - 8y = 0

⇒ 297 - 3y - 8y = 0

⇒ 11y = 297

⇒ y = 297/11

y = 27

then, substitute y = 27 in (2), we get

⇒ x = 99 - 27

x = 72

then, Finding value of x - y :

⇒ x - y

⇒ 72 - 27

45

FINAL ANSWER :

The Value of x - y is 45 .

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