12. The HCF of two numbers is 2 and their LCM is 154. If
the difference between the numbers is 8, then the
sum is
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Answered by
0
Answer:
Let the two numbers be a, b
According to property...
a*b = LCM * HCF
a × b = 154 × 2
a × b = 308
a - b = 8
Find the answer....
Answered by
3
Step-by-step explanation:
HCF =2
LCM =154
let the number be a and b
a-b=8
a=8+b
We know that:-
HCF × LCM = a × b
2 × 154 = (8 + b)× (b)
308=8b+b square
b square +8b - 308 = 0
b square +22b - 14b - 308 = 0
b ( b+22) - 14 (b+22) =0
(b+22) (b-14)=0
b=-22,14
let us take a positive number which is 14
so, b=14
a=8+b
a=8+14
a=22
sum =a+b= 22+14=36
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