A number in which one-sixth part is increased by 30 is equal to one-eighth part is decreased by 100. Find the number.

Question: A number in which one-sixth part is increased by 30 is equal to one-eighth part is decreased by 100. Find the number.

Solution:
Let the number be x.

ATQ,
x/6 + 30 = 100 - x/8
⇒ x/6 + x/8 = 70
⇒ 7x/24 = 70
∴ x = 240

The number is 240.