Question

Find the least number which when divided by 6, 15 and 18 leave reminder 5 in each case.​

Answer 1

Step-by-step explanation:

For 6,

Here let the quotient be x and dividend be y.

Dividend=Divisor×Quotient+remainder

y =6x+5...(1)

For 15,

let quotient be z.

y=15z+5...(2)

For 18,

Quotient be a.

y=18a+5.. (3)

6x+5=15z+5...(from (1) and (2) )

6x=15y

x/z=6/15

But 6×15=15×6

Adding 5 on both sides.

95.

The least number will be 95.