Question

x and y a two digit numbers if their HCF is 7 and LCM is 105 then find the value of x and y​

Answer 1

Answer:

Step-by-step explanation:

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