Question

Two numbers are in the ratio 3:5. If 7 is added to the first number and the second number is
reduced by 6, the ratio becomes 2:3. Find the difference between the original numbers.​

Answer 1

Answer:

25

Step-by-step explanation:

⇒ Let the first number is x, the second is y.Then

y

x

=

5

3

, 3y=5x

On the other hand

y+10

x+10

=

7

5

,hence 7(x+10)=5(y+10)

We get that 3y=5x,7x+70=5y+50

3y=5x,5y=7x+20

y=

3

5x

,y=

5

7x+20

∴

3

5x

=

5

7x+20

25x=3(7x+20)

25x=21x+60

4x=60

∴ x=15

⇒ Then y=

3

5x

=5×

3

15

=25

∴ x=15,y=25

∴ The greater number is 25.