The LCM of two numbers is 28 times of their
HCF. The sum of their LCM and HCF is 1740. If
one number is 240 then what is the other
number?
(b) 460 (c) 500
(d) 380
(a) 420
Answers
Answered by
24
Answer:
(a) 420
Step-by-step explanation:
let the hcf is x
so lcm will be 28x
lcm+hcf=1740
28x+x=1740
29x=1740
x=1740÷29
x=60
so hcf is 60
and lcm =60×28=1680
now hcf×lcm=product of the nmbers
so 1680×60=240×2nd number
100800÷240=2nd number
420=2nd number
Answered by
91
Given:
- The LCM of two numbers is 28 times of their HCF.
⠀
Also,
- The sum of their LCM and HCF is 1740.
⠀
⠀
Now,
⠀
As, LCM = 28 HCF.
⠀
Therefore,
⠀
⠀⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀⠀⠀⠀⠀⠀⠀⠀
★ Finding the other number,
- One number is equal to 240.
Hence,
⠀
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