Question

If priya had 150 stones and Tina had 120 stones who among them can form heaps of 15 20 and 30 by using all the stones they have?

Answer 1

Answer:

Tina can form heap of 15 , 20 and 30 using all her stones.

Step-by-step explanation:

No of stones Priya had = 150

No of stones Tina had = 120

We have to find : Who can form heap of 15 , 20 and 30 using all stones.

We first find LCM of 15 , 20 & 30 and check which one is divisible by LCM.

We find LCM by prime factorization method,

15 = 3 × 5

20 = 2 × 2 × 5

30 = 2 × 3 × 5

So, LCM = 5 × 2 × 3 × 2 = 60

Now, 150 ÷ 60 = 2.5    and 120 ÷ 60 = 2

Therefore, Tina can form heap of 15 , 20 and 30 using all her stones.