Question

If the HCF of 657 and 963 is expressible in the form of 957 + 963x (- 15 ) find x

Answer 1

→rewriting the question:

→If the HCF of 657 and 963 is expressible in the form of 657 + 963x (- 15 ) find x.

→ HCF = 9 AND x= 22

→ verification:

657(22)-14445 = 9

14454-14445 =9

9=9

LHS= RHS

Answer 2

Answer:

963>657

Finding H.C.F. by Euclid's division lemma -

963=657*1+306

657=306*2+45

306=45*6+36

45=36*1+9

36=9*4+0          (hence,remainder is 0.)

H.C.F.=9

According To Question :

657x-(963*-15)=9

657x=14454

x=14454/657

so,

x=22 {Answer}.........................