Two numbers are such that the ratio between them is 5:9. If each is increased by 5 , the ratio between the new numbers so formed is 3:5. Find the original numbers.
Answers
Answered by
1
Answer:
Ratio between two numbers = 3 : 5
Let first number = 3x
and second number = 5x
Now According to the condition,
3x + 10 : 5x + 10 = 5 : 7
⇒
3
x
+
10
5
x
+
10
=
5
7
⇒
7 (3x + 10) = 5 (5x + 10)
(By cross multiplication)
21x + 70 = 25x + 50
⇒
21x - 25x = 50 - 70
⇒
-4x = - 20
⇒
4x = 20
⇒
x
=
20
4
=
5
∴
first number = 3x = 3
×
5 = 15
and second number 5x = 5
×
5 = 25
Hence numbers are 15, 25
See this solution and get hints if you do by yourself then you will be more clear..
Hope you do that..it is good for you to understand
Answered by
0
Step-by-step explanation:
x/y = 5/9
x = 5/9y
(x+5)/(y+5) = 3/5
x + 5 = (3y + 15)/5
5/9y + 5 = 3/5y + 3
(5/9 - 3/5)y = -2
y*(25 - 27)/45 = -2
y = -2 * (-45/2)
y = 45 ....(2)
x = 5 * 45/9
x = 25
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