Question

a number 385 is divided into teo parts, the LCM of two parts is 1050 & the HCF is 35. one of two number is- a)175 & 210 b) 165 & 200 c) 155 & 190

Answer 1

let the numbers be x and 385-x
$x \times (385 - x) = 1050 \times 35 \\solving \: the \: above \: quadratic \: equation$
we get
$x = 175 \: \: \\ x = 210$