Question

Two numbers are in the ratio 8:5. If 6 is added to each number, the ratio becomes 3:2. Find the number.​

Answer 1

Answer:

the no. are 48 and 30

Step-by-step explanation:

let the no. be 8x and 5x

if 6 is added to each no. they become-:

8x+6

5x+6

ATQ

8x+6 = 3

5x+6 = 2

2(8x+6)=3(5x+6)

16x+12=15x+18

16x-15x=18-12

X=6

hence the no. are-:

8x=8*6=48

and

5x=5*6=30

Answer 2

Given : Two numbers are in the ratio 8:5. If 6 is added to each number, the ratio becomes 3:2.

To find : The numbers.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the two numbers)

Let, the two numbers = 8x and 5x

(obtained from the ratio 8:5)

By adding 6 to each number, we get :

• First number + 6 = 8x+6
• Second number + 6 = 5x+6

According to the data mentioned in the question,

(8x+6) : (5x+6) = 3:2

(8x+6) / (5x+6) = 3/2

2 × (8x+6) = 3 × (5x+6)

16x+12 = 15x+18

16x-15x = 18-12

x = 6

So,

The first number = 8x = 8 × 6 = 48

The second number = 5x = 5 × 6 = 30

Hence, the two numbers are, 48 and 30