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the sum of two numbers is 45 and their ratio is 7:8 . find them ?

 May 24, 2014

Best Answer 

 #2
avatar+11912 
+10

CPhill while reading your answer i just figured out another method which could give the same right answer !

check this out :

let 7 and 8 be 7x and 8x.

ATQ ; 7x +8x = 45 

=15x =45

x= 45/15

x=3

therefore , 

7x = 7*3 = 21

8x=8*3=24

isnt that correct 

 

by the way thanks for another formula but dont mind i find this one a lil hard 

 May 24, 2014
 #1
avatar+128473 
+5

OK, rosala....let x be the first number and let y be the second number....and we're told that their ratio is 7 to 8   .....so we have  x to y = 7 to 8  ....or...put mathematically...

x/y =7/8   Now let's multiply both sides by "y"

x = (7/8)y    Notice that this is what x equals, so, since we are told that x +  y = 45, we have.......

(7/8)y + y = 45 

(7/8 + 1)y = 45       so  .........

(15/8)y = 45    Multiply by the reciprocal of (15/8)  = (8/15) on both sides

y = 45*(8 / 15)    The 45 and the 15 "cancel" to 3.....so we have

y = 3*8 = 24     And x = (7/8)y....so......

x = (7/8) (24) = 21

So the two numbers are 21 and 24

Note that the ratio of these is (21/24) = (7/8)....as requested.......

 May 24, 2014
 #2
avatar+11912 
+10
Best Answer

CPhill while reading your answer i just figured out another method which could give the same right answer !

check this out :

let 7 and 8 be 7x and 8x.

ATQ ; 7x +8x = 45 

=15x =45

x= 45/15

x=3

therefore , 

7x = 7*3 = 21

8x=8*3=24

isnt that correct 

 

by the way thanks for another formula but dont mind i find this one a lil hard 

rosala May 24, 2014
 #3
avatar+128473 
+5

Looks good.........Thumbs up from me !!

 May 24, 2014
 #4
avatar+11912 
+5

thankx and from me too !

and is that smiey ur pet one !

 May 24, 2014

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