Question

The L.C.M. of two numbers is $45$ times their H.C.F. One number is $125$, and the sum of their H.C.F. and L.C.M is $1150$. Find the other number.

• A. $275$
• B. $215$
• C. $230$
• D. $225$

Answer 1

The correct option is D $225$

Let HCF be $x$ so LCM will be $45x$

Given $x+45x$=1150

$x$=25

So HCF =25 and LCM will be 25x45=1125

We know that HCFxLCM = Product of two numbers

$25\times 1125=125xsecondnumber$

Second number = 225

So correct answer will be option D