Question

Ratio of two numbers is 5 : 7. If 30 is added in each number, the ratio becomes 3 : 4. Find the ratio of the number if 10 is subtracted from each number.


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Answer 1

Step-by-step explanation:

Let be ratio = x

Ratio of two numbers = 5x, 7x

If 30 is added in each number then the number

is :- 5x+30, 7x+30

A/Q,

5x+30 = 3

7x+30 = 4

Or, 4(5x+30) = 3(7x+30)

Or, 20x+120 = 21x+90

Or, 120-90 = 21x-20x

Or, x = 30

Two numbers = 150,210

If 10 number is subtracted from each number

then the number is :- 150-10 = 140, 210-10 = 200

Ratio of numbers = 140:200 = 140/200 = 7/10

= 7:10

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