two numbers, both greater than 23 have hcf 23 and lcm 644. sum of numbers is
Answers
Answered by
1
Answer:
The numbers are 92 and 161.
Step-by-step explanation:
Given : Two numbers both greater than 23 have hcf 23 and lcm 644.
To find : The numbers?
Solution :
Let the two numbers be 23a & 23b where a and b are co-primes.
LCM x HCF = Product of two numbers
23a \times 23b = 644 \times 2323a×23b=644×23
\Rightarrow ab = 28 = 4 \times7⇒ab=28=4×7
The two numbers are
23a=23(4)=9223a=23(4)=92
23b=23(7)=16123b=23(7)=161
Answered by
1
Answer:
the sum of the numbers is 253
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