Question

20. Two numbers are in the ratio 5:6. If 8 is subtracted from each of the
numbers, the become in the ratio of 4:5. Find the numbers.

step by step answer ​

Answer 1

Given

Two number are in the ratio 5:6

If 8 is subtracted from both numbers it becomes in th ratio 4:5 .

To Find

We have to find the numbers

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

We have given numbers in the ratio so, we have to assume some Variable.

Let the first number be 5x

and second number be 6x

Since ,numbers are in ratio It Means they are in fraction.

➙5x/6x

Now, if 8 is subtracted from both numbers it becomes in the ratio 4:5

➙ 5x-8/6x-8= 4/5

➙5(5x-8)=4(6x-8)

➙25x-40=24x-32

➙25x-24x= -32+40

➙x= 40-32=8

➙x=8

Hence,the numbers are 40 & 48

5x= 5×8=40

6x=6×8=48

Check:

If 8 is subtracted from both numbers it becomes in the ratio 4:5

➙ 40-8= 32

➙ 48-8=40

➙32/40= 4/5 or 4:5