Question

1. Find the number which divides 167 and 95 leaving 5 as remainder. 18

Answer 1

let the number be x

as x divides 167 and remainder is 5

it must be completely divide to 162

also , x divides to 95 and remainder is 5

it must be completely divide to 90

so x divides both 162 and 90

so x is hcf of both 162 and 90

162 = 2 × 3 × 3× 3 × 3

90 = 2 × 3 × 3 × 5

hcf = 2 × 3 × 3

hcf = 18

so 18 is the largest two digit number

Answer 2

Answer:

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