Answer:
b=46
Explanation:
To find the value of "b," we can use the relationship between the highest common factor (H.C.F.), the least common multiple (L.C.M.), and the numbers "a" and "b."
We know that:
H.C.F. (a, b) = 6
L.C.M. (a, b) = 414
a = 54
To find "b," we can use the formula:
L.C.M. (a, b) = (a * b) / H.C.F. (a, b)
Substitute the given values:
414 = (54 * b) / 6
To find "b," first, we can simplify the equation:
414 = 9b
Now, isolate "b" by dividing both sides by 9:
b = 414 / 9
b = 46
So, the value of "b" is 46.