Question

Two numbers are in the ratio of 2:3 . If 5 is subtracted from each, the ratio becomes 3:5.Find the number

Answer 1

Answer:

3/5

Step-by-step explanation:

Let the common ratio be X

2x-5/3x-5= 3/5

(Cross multiply both )

(2x-5)5= 3(3x-5)

10x-25= 9x - 15

10x-9x= -15+25

X = 10

Therefore, the number is, 2×10-5=15 and 3×10-5 =25

15/25 = 3/5

Answer 2

Concept

When two or more numbers are compared, the ratio shows how big one is in relation to the other.

Given

Two numbers are in the ratio of 2:3 and  If 5 is subtracted from each, the ratio becomes 3:5

Find

We need to find the number

Solution

Let the common ratio be X

Now According to the statement two numbers are in ratio 2:3

That it 2x / 3x

Now if 5 is subtracted from each means

2x -5 / 3x-5

The ratio becomes 3:5 = 3/5

So the equation formed is

2x-5 / 3x-5 = 3/5

Solving the equation by cross multiplication We get

5(2x-5) = 3(3x-5)

10x - 25 = 9x -15

∴ x = 10

Hence the number is 10

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