Question

What is the least number which whendecreased by 4 is divisible by each of the numbers 10, 15, 20 and 25 separately.​

Answer 1

Answer:

304 is the required number.

Given:

• A number is when decreased by 4, divisible by 10, 15, 20 and 25

To Find:

• The number.

Solution:

Let the number = x

[ (x - 4) should be the common multiple of 10, 15,20 and 25. We have to find the least number, so, we would take lowest common multiple (LCM) rather than any multiple. ]

(x - 4) is the LCM of 10, 15, 20

LCM of 10, 15, 20 is 300

➞ (x - 4) = 300

➞ x = 300 + 4

➞ x = 304

The required number = x = 304