Question

The smallest number which when divided by 20, 25, 35, 40 leaves a remainder of 14, 19, 29 and 34 respectively is _____

(Pls tell the answer with step by step explanation)

Answer 1

L. C. M. of given numbers 20,25,35,40 is 1400

in all cases difference of the number and remainder is 6

so required number is 1400-6=1394

Answer 2

Answer:

Step-by-step explanation:

All divisions given are=

  Divisor            Remainder

a) 20                         14

b) 25                         19

c) 35                         29

d)40                          34

We need to know the Quotient of the divisions:

a) 20 - 14 = 6

b) 25 - 19 = 6

c) 35 - 29 = 6

d) 40 - 34 = 6

So they all have a similar Quotient which is 6

So let's take one division and find out the Dividend using the formula=

Dividend = q*d+r

a) D= 6*20+14

     = 120+14

  D=134

So, The smallest number which when divided by 20, 25, 35, 40 leaves a remainder of 14, 19, 29 and 34 respectively is 134

Hope this helps !