Are in the ratio of 3:5 is increased by 10 the ratio between the two numbers so form does 5:7 find the original number
Answers
Answered by
8
Actually in this question,numerator and denominator both is increased by 10 then the fraction becomes 5/7
Let the numbers be 3x and 5x
Ratio will be 3x/5x
now,
(3x+10)/(5x+10) = 5/7
⇒21x +70 = 25x +25
⇒4x = 20
⇒x = 5
So, the numbers will be 3×5= 15 and 5×5 = 25
Let the numbers be 3x and 5x
Ratio will be 3x/5x
now,
(3x+10)/(5x+10) = 5/7
⇒21x +70 = 25x +25
⇒4x = 20
⇒x = 5
So, the numbers will be 3×5= 15 and 5×5 = 25
Answered by
46
Answer:
Step-by-step explanation:
Given :-
The ratio of 3:5 is increased by 10 the ratio between the two numbers so form does 5:7.
To Find :-
The original number
Solution :-
Let the first number is x, the second is y.
⇒ 5x = 3y
⇒ (x + 10)7 = (y + 10)5
⇒ 7x + 70 = 5y + 50
⇒ 7x + 20 = 5y
⇒ x = 3/5y -------- (i)
⇒ 7 × 3/5y + 20 = 5y
⇒ 21y + 100 = 25y
⇒ 4y = 100
⇒ y = 25
Putting y value in euation (i), we get
x = 3/5 × 25
x = 15
Hence, the original numbers are 15 and 25.
Similar questions