Let , and be integers such that divides both and…

MATHEMATICS · Multi-part · CBSE · Mathematics · Number Play · Number Play

Problem

Let

a

b

and

c

be integers such that

a

divides both

b

and

c

. (i) Translate the condition “

a

divides

b

and

c

” into algebraic statements involving integers

m

and

n

. (ii) Prove that

a

also divides

b+c

as well as

b-c

. (iii) Taking

a = 13

b = 117

and

c = 39

, verify your result from part (ii).