Question

Find the least number which is divided by 35 45 and 55 leaves the remainder 18 28 and 35 respectively

Answer 1

I am not sure about the answer but 90,140,125 as these numbers satisfy the above question.

Answer 2

it's not 35....it is 38

the L. C. M. of 35, 45 and 55 = 3 x 3 x 5 x 7 x 11

= 3465

The difference between divisor and remainder = 35 – 18 = 17, 45 – 28 = 17 & 55 – 38 = 17.

Then, required number = 3465 – 17

= 3448

so, answer is 3448