Question

ramesh is 9 years older than his wife geeta six years ago the ratio ages 6:5 what is the present age of geeta​

Answer 1

Explanation:

Let present age of Ramesh is x years and

Present age of Sundar is y years

Now,

Six year ago age of Ramesh and Sundar

⇒ Ramesh age six year ago = (x - 6) years

⇒ Sundar age six year ago = (y - 6) years

From question

⇒ (x - 6) ∶ (y - 6) = 6 ∶ 5

⇒ (x - 6)/(y - 6) = (6/5)

⇒ 5x - 30 = 6y - 36

⇒ 6y - 5x = 6 ....(1)

Now, four years hence

⇒ Ramesh age four years hence = (x + 4)

⇒ Sundar age four years hence = (y + 4)

From question

⇒ (x + 4) ∶ (y + 4) =11 ∶ 10

⇒ (x + 4)/(y + 4) = 11/10

⇒ 10x + 40 = 11y + 44

⇒ 10x - 11y = 4 ....(2)

Multiply equation (1) on both side by 2

⇒ (6y - 5x = 6) × 2

⇒ 12y - 10x = 12 ....(3)

Now add equation (2) and equation (3)

⇒ 10x - 11y + 12y - 10x = 12 + 4

⇒ y = 16

⇒ Sundar present age = 16 years

∴ Sundar present age = 16 years

Answer 2

six years ago age of ramesh =6x years

six years ago age of geeta =5x years

now age of ramesh =6x+6 years

now age of geeta =5x+6 years

6x+6-5x-6=9

or,x=9

therefore age of geeta =45+6 years =51 years