Question

two numbers are such that the ratio between then is 3:5 . if each is increased by 10 the ratio between the new numbers so formed is 5:7 . find the number​

Answer 1

Given:-

• Two numbers are such that the ratio between then is 3:5. If each is increased by 10 the ratio between the new numbers so formed is 5:7.

To find:-

• The number.

Solution:-

Let,

• the two numbers are x and y.

According to the question,

→ x/y = 3/5

→ x = (3y)/5 ...(1)

Now,

→ (x + 10)/(y + 10) = 5/7

→ 7(x + 10) = 5(y + 10)

→ 7x = 5y + 50 - 70 = 5y - 20

• putting the value of x from eq.(1)

→ 7(3y/5) = 5y - 20

→ 21y =25y - 100

→ 25y - 21y = 100

→ y = 100/4

→ y = 25

• putting the value of y in eq.(1)

→ x = (3 × 25)/5p

→ x = 15

Hence,

• the numbers are 15 and 25.