• # question_answer 28) The LCM of two numbers is 44 times of their HCF. The sum of the LCM and HCF is 1125. If one number is 25, then the other number is A)  1100             B)  975C)  900                D)  800

If the HCF = H. then LCM = 44 H $\therefore$  $44H+H=1125$ $\Rightarrow$   $45\text{ }H=1125$ $\therefore$    $H=\frac{1125}{45}=25$ $\therefore$  LCM $~=44\times 25=1100$ Now First number $\times$ Second number = LCM $\times$HCF $\Rightarrow$ 25 $\times$ Second number $=1100\times 25$ $\therefore$ Second number $=\frac{1100\times 25}{25}=1100$