Question

A boy running up a stair case finds that when he goes up two steps at a time there is one step left at the end ; when he goes up three at a time there are two left at the end and when he goes up four at a time , there are three left at the end . Find the number of stairs , which is somewhere between 40 and 50​

Answer 1

Answer:

45

Step-by-step explanation:

Answer 2

Answer:Had there been one more step, the number of steps would be an exact multiple of 2,3 as well as 4.

So LCM of 2,3,4 = 12

The highest common multiple in the range 90 - 100 will be 12 × 8 = 96.

therefore the number of steps = 96 - 1 = 95

Step-by-step explanation: