Question

Two numbers are in the ratio 7:8.on adding 3 to the first and 8 to the second number their ratio becomes 3:4 find the number

Answer 1

hey here is your answer

Answer 2

Given:

The ratio of two numbers=7:8

To find:

The numbers

Solution:

The numbers are 21 and 24.

We can find the numbers by following the given steps-

We know that the numbers are in the ratio of 7:8.

Let us assume that the numbers are x and y.

So, the ratio of x and y=7:8

x:y=7:8

x/y=7/8

x=7y/8 (1)

We are given that on adding 3 to the first number and 8 to the second number, the ratio becomes 3:4.

So, the new ratio=3:4

The first number when 3 is added to it=x+3

The second number when 8 is added to it=y+8

The ratio of (x+3) and (y+8)=3:4

(x+3): (y+8)=3:4

(x+3)/(y+8)=3/4

4(x+3)=3(y+8)

4x+12=3y+24

4x=3y+12

From (1), we will substitute the value of x.

4(7y/8)=3y+12

7y/2-3y=12

(7y-6y)/2=12

y=12×2

y=24

Now we will use the value of y to find x.

x=7y/8

x=7×24/8

x=7×3

x=21

So, x and y are 21 and 24.

Therefore, the numbers are 21 and 24.