Question

Find the least number which when divided by 25 ,40 and 60 leaves 9 as the remainder in each case ​

Answer 1

Answer:

LCM of 25,40,60 = 600

Now, the least number which gives a remainder of 9 when divided by 25, 40 , 60 = 600+ 9 = 609

hope it helps

tq./

Step-by-step explanation:

Answer 2

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Explanation:

The least number which when divided by 25,40 and 60 leaves 9 as remainder = L.C.M of 25,40 and 60 +9

Now ,finding L.C.M of 25,40 and 60:-

2┋25-40-60

___________

2┋25-20-30

___________

2┋25-10-15

___________

3┋25-5-15

___________

5┋25-5-5

___________

5┋5-1-1

____________

┋1-1-1

L.C.M of 25,40 &60 :2×2×2×3×5×5=600

Required number is 600+9=609

Check :-

By dividing any of one number :

ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ25 ❫ 609 ❪24

ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ600

ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ_____

ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ9 <-----leaves

ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ_____