The ratio of sunita's age to mark's age is currently 3 to 4, and in 12 years, it will be 5 to 6. what is mark's current age? a) 18 b) 24 c) 30 d) 36

The current age of Mark's is 24 years  

Step-by-step explanation:

Given as :

The ratio of sunita's age to Mark's age is 3 : 4

After 12 years the ratio is 5 : 6

So, Let The age of Sunita = 3 x

The age of Mark's = 4 x

∴   =

Or,  6 × ( 3 x + 12 ) = 5 × ( 4 x + 12 )

Or, 18 x + 72 = 20 x + 60

Or, 20 x - 18 x = 72 - 60

Or, 2 x = 12

∴  x = = 6

So , Let The age of Sunita = 3 x = 3 × 6 = 18 years

      The age of Mark's = 4 x = 4 × 6 = 24 years

Hence The current age of Mark's is 24 years    Answer

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)