The sum of two numbers is 45. Their difference is 1/9 of their sum. find their Lcm..
Answers
Answered by
60
Let the two numbers be x, y.
x + y = 45 ---> EQ1.
x - y = 1/9(45)
x - y = 5 ---> EQ2.
Solve the two equations.
2x = 50
x = 25
Put x = 25 in EQ1.
25 + y = 45
y = 20
So, the two numbers are 20, 25 and their LCM is 100.
x + y = 45 ---> EQ1.
x - y = 1/9(45)
x - y = 5 ---> EQ2.
Solve the two equations.
2x = 50
x = 25
Put x = 25 in EQ1.
25 + y = 45
y = 20
So, the two numbers are 20, 25 and their LCM is 100.
khushikumari11:
hey lcm means least common number
this is the correct answer
but how can you say that the lcm of 20 and 25 is 100 this is not right
least common multiple, or LCM, is another number that's useful in solving many math problems. Let's find the LCM of 30 and 45. One way to find the least common multiple of two numbers is to first list the prime factors of each number.
30 = 2 × 3 × 5
45 = 3 × 3 × 5
Then multiply each factor the greatest number of times it occurs in either number.
2: one occurrence
3: two occurrences
5: one occurrence
2 × 3 × 3 × 5 = 90 <— LCM
30 = 2 × 3 × 5
45 = 3 × 3 × 5
Then multiply each factor the greatest number of times it occurs in either number.
2: one occurrence
3: two occurrences
5: one occurrence
2 × 3 × 3 × 5 = 90 <— LCM
Answered by
11
let first no=x
and second=y
therefore x+y=45 ................equ 1
and x-y=45×1/9
=5..........equ 2
from equ 1 and 2 we have -
x=25 and=20
the L.C.M of 25 and 20 is
25=5×5
20=2×2×5
therefore lcm (25 and 20)=5 ans THANKS
and second=y
therefore x+y=45 ................equ 1
and x-y=45×1/9
=5..........equ 2
from equ 1 and 2 we have -
x=25 and=20
the L.C.M of 25 and 20 is
25=5×5
20=2×2×5
therefore lcm (25 and 20)=5 ans THANKS
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