The LCM of two numbers is 14 times their HCF . The sun of LCM and HCF

1.	The LCM of two numbers is 14 times their HCF . The sun of LCM and HCF is 600. If one number is 280. Find other numbers
Answer» $\LARGE\textsf{Answer :- 80}$ Step-by-step EXPLANATION: $let \: the \: other \: number \: be \: x$ $\LARGE\textsf{Given :-}$ $LCM+HCF=600$ $14HCF+HCF=600$ $15HCF=600$ $HCF=40$ $LCM=14×40=560$ $\Large\textsf{To find :- other numbers}$ $\textsf{So,}$ $Since, \: HCF \times LCM=Product \: of \: 2 \: numbers$ $40×560 = 280×x$ $x = \LARGE \frac{40 \times 560}{280}$ $x = 40 \times 2$ $x = 80$ $hence \: the \: other \: number \: is \: 80.$