Question

Find the smallest number which leaves the remainder 5 when divided by 15,20 and 35​

Answer 1

Answer:

Procedure

We have to find LCM of these numbers and add 5 to it, to obtain our number

LCM

The LCM of 15, 20 and 35 is 420

Adding 5 to the Result

We, now, need to add 5 to the LCM of 15, 20 and 35

LCM of 15, 20 and 25 = 420

Number = 420 + 5

Number = 425

So, 425 is the smallest number, which when divided by 15, 20 or 35, leaves a remainder of 5

Checking

425 ÷ 15

Quotient - 28

Remainder - 5

425 ÷ 20

Quotient - 21

Remainder - 5

425 ÷ 35

Quotient - 12

Remainder - 5

So, the answer is correct