This question was previously asked in

DSSSB PGT Hindi Female General Section - 3 July 2021 Shift 3

Option 3 : 20 ∶ 17

**Given:**

X is 9 months older than Y

And age of the Y is 4.25 year

**Concept used:**

Applying addition multiplication and division concept

**Calculations:**

We know that

12 month = 1 year

Then,

1 month = (1/12) year

Similarly for 9 month

9 month = (9/12) year

According to the question

⇒X = 4.25 + 9 month

⇒X = 4.25 + (9/12)

⇒X= 4.25 + 0.75

⇒X= 5 year

And Y = 4.25 year

Then,

⇒X : Y = 5:4.25

⇒X : Y = 5 : (425/100)

⇒X : Y = 500 : 425

⇒X : Y = [(20 × 25) : (17 × 25) ]

⇒X : Y = 20 : 17

**∴ correct option is (3) **