Question

Q1.Ratio of two numbers is 3:8. On adding 5 to both numbers, the ratio becomes 2:5. Which is the smaller number out of the two? ​

Answer 1

Explanation:

✬ Smaller Number = 45 ✬

Step-by-step explanation:

Given:

Ratio of two numbers is 3:8.

After adding 5 to both numbers ratio becomes 2:5.

To Find:

Which is the smaller number ?

Solution: Let one number be x and other number be y. Therefore,

➟ First number/Second number = 3/8

➟ x/y = 3/8

➟ 8x = 3y

➟ x = 3y/8ㅤㅤㅤㅤㅤ(i)

[ Now adding 5 to both numbers ]

One number = x + 5

Other number = y + 5

New ratio = 2:5

⟹ (x + 5)/(y + 5) = 2/5

⟹ 5(x + 5) = 2(y + 5)

⟹ 5x + 25 = 2y + 10

⟹ 5(3y/8) – 2y = 10 – 25

⟹ 15y – 16y/8 = – 15

⟹ – y = – 15 × 8

⟹ y = 120

Now put the value of y in equation (i).

➮ x = 3 × 120/8

➮ x = 360/8 = 45

Hence, the smaller number out of the two is