HCF and LCM of x and y are 3 and 105 respectively.if c+y=36, value of 1/x+1/u will be
Answers
Answered by
100
According to the given question
L.C.M. of two numbers = 3
H.C.F of two numbers = 105
Then,
L.C.M. × H.C.F. = 3 × 105
X × Y = 3 × 105
[Because we know that, If X and Y are two numbers then
(L.C.M. of X and Y) × (H.C.F. of X and Y) =X × Y]
X × Y = 315 ______________ (1)
Also given in the question
X + Y = 36 _______________ (2)
( X + Y )/(X × Y) =36/315
X/(X × Y) + Y/(X × Y) = 36/315
1/Y + 1/X = 4/35
1/X + 1/Y = 4/35
Hope this helps you
L.C.M. of two numbers = 3
H.C.F of two numbers = 105
Then,
L.C.M. × H.C.F. = 3 × 105
X × Y = 3 × 105
[Because we know that, If X and Y are two numbers then
(L.C.M. of X and Y) × (H.C.F. of X and Y) =X × Y]
X × Y = 315 ______________ (1)
Also given in the question
X + Y = 36 _______________ (2)
( X + Y )/(X × Y) =36/315
X/(X × Y) + Y/(X × Y) = 36/315
1/Y + 1/X = 4/35
1/X + 1/Y = 4/35
Hope this helps you
Answered by
9
Answer: 4/35
Step-by-step explanation:
1/x + 1/y
= (y + x) / xy
= 36/(3*105). [we know that product of two numbers is equal to the product of their LCM and HCF]
= 4/35
Similar questions