The ration of two number is 3: 5. if both numbers are increased by 5 their ratio becomes 2:3 find the number.
Answers
Answered by
0
Answer:
let the numbers be 3x and 5x so
according to the question
(3x + 5)/(5x +5) =2/3
9x +15 = 10x +10
5= x
the numbers are 15 and 25 respectively.
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Step-by-step explanation:
Answered by
5
Answer :-
- First Number = 15.
- Second Number = 25.
Explanation :-
Given :
- Two numbers are in the ratio 3 : 5.
- If both are increased by 5 , the ratio becomes 2 : 3.
To Find :
- The Numbers.
Solution :
Let the numbers be 3x and 5x.
According to the Question,
⇒ (3x + 5)/(5x + 5) = 2/3.
⇒ 3(3x + 5) = 2(5x + 5).
⇒ 9x + 15 = 10x + 10.
⇒ 10x - 9x = 15 - 10.
⇒ x = 5.
Therefore,
- First Number = 3x = 15.
- Second Number = 5x = 25.
Verification :
⇒ (3x + 5)/(5x + 5) = 2/3.
⇒ (15 + 5)/(25 + 5) = 2/3.
⇒ 20/30 = 2/3.
⇒ 2/3 = 2/3.
LHS = RHS.
Hence, Verified.
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