Question

The ratio of two number is 3: 5. if both numbers are increased by 5 their ratio becomes 2:3 find the number. ​

Answer 1

Given that both are increased by

their ratio becomes 2:3. ⇒ x = 5 ⇒ 5x = 25 Therefore, the numbers are 15 and 25.

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Answer 2

Given

Ratio of two numbers is 3:5

If numbers are increased by 5 then ratio will be 2:3

To Find

We have to find the numbers

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

Let the number be 5x &3x

According to the question:

If it is increased by 5 their ratio becomes 2:3

=>(5x+5):(3x+5)=2:3

=>2(5x+5)=3(3x+5)

=>10x+10=9x+15

=>10x-9x=15-10

=>x=5

Now, finding the numbers

We let the first number 3x So, 5x=5×5=25

first number is 25

Second number =3x=3×5=15

∴First number is 25

second number is 15

Check

Ratio of two numbers is 3:5 =>15:25=3:5

If they are increased by 5 their ratio becomes 2:3

=>15+5=20

=>25+5=30

Ratio =20:30=2:3

Extra information=>

Ratio are used to show that the both fraction values are of same quantity or say are in ratio.

When a fraction are expressed in terms of a:b it is said to be in ratio where ,b≠0.