Question

if HCF Of 126and 35is H.and given 126*A+35*B=H,then prove that A*B/H=-2

Answer 1

126=2×3×3×735=5×7

HCF of 126 and 35 = 7
Therefore, 7=126A+35B
⇒7=7(18A+5B)
⇒1=18A+5B
It is true for A=2 and B=−7

Now,A×BH=2×(−7)7=−2

Hence, proved