Question

find the largest number that divides 92 and 74 leaving 2 as a reminder

Answer 1

Answer:

If a number 'a' and a number 'b' are divisible by a number 'n' then, a+b and a-b is also divisible by n

=> let the number be n which divides 62, 132 and 237 leaving a reminder r

=> the required number then becomes H.C.F of 62-r, 132-r and 237-r

=> it could also be the H.C.F of 

(132-r)-(62-r) and (237-r)-(132-r)

i.e. 70 and 105

=> H.C.F of 70 and 105 = 35

the required number n is 35

Answer 2

Answer:

6

Step-by-step explanation:

as: 92%6= 2

& 74%6= 2

hence, 6 is the largest no. that gives the remainder 2