Math, asked by rakeshnor1212, 1 year ago

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 qais
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
Answered by VishalSharma01
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.

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