SOLUTION: Good evening. Please could you help me in this problem,I am not sure about this. 1) Two numbers are in the ratio of 3:10 by adding 25 to each you get two new numbers in the ra

Question 58281: Good evening. Please could you help me in this problem,I am not sure about this.
1) Two numbers are in the ratio of 3:10 by adding 25 to each you get two new numbers in the ratio of 8:15. Find the orgininal number?
Waiting from your answer.
Your faithfully student
narah
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
Good evening. Please could you help me in this problem,I am not sure about this.
1) Two numbers are in the ratio of 3:10 by adding 25 to each you get two new numbers in the ratio of 8:15. Find the orgininal number?
Waiting from your answer.
Your faithfully student
narah
WHEN THE RATIO OF 2 NUMBERS IS GIVEN (3:10 AS HERE )IT IS A GOOD PRACTICE TO TAKE THEM
AS EQUAL TO ...3X AND 10X SINCE FOR ANY VALUE OF X THEIR RATIO WOULD BE 3:10 AS X CANCELS OUT LEAVING 3:10
NOW BY ADDING 25 TO EACH NUMBER WE GET THE NEW RATIO AS
(3X+25)/(10X+25) = 8/15...CROSS MULTIPLYING , WE GET
15(3X+25) = 8(10X+25)
45X+375 = 80X+200
80X-45X=375-200=175
35X =175
X=175/35=5
HENCE THE 2 NUMBERS ARE 3*5=15 AND 10*5=50

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