Question

malli is 25 yrs younger than her father. The product of their ages after 3 yrs will be 1250yrs.How old is her father now​

Answer 1

Step-by-step explanation:

Given:-

Malli is 25 years younger than her father. The product of their ages after 3 years will be 1250 years.

To find:-

How old is her father now ?

Solution:-

Let the age of Malli's father be X years

Then, The age of Malli =25 years younger than her father

=>(X-25) years

After 3 years Malli's father's age will be

(X+3) years

After 3 years Malli's age will be (X-25+3) years

=> (X-22) years

Given that

The product of their ages after 3 years

= 1250 years

=> (X+3)×(X-22) = 1250

=> X(X-22) +3(X-22) = 1250

=> X^2 -22X +3X -66 = 1250

=> X^2 -19X -66 = 1250

=> X^2-19X-66-1250 = 0

=> X^2-19X -1316 = 0

=> X^2-47X+28X -1316 = 0

=>X(X-47)+28(X-47)=0

=> (X-47)(X+28)=0

=>X-47 = 0 or X+28 = 0

=> X = 47 or X = -28

X cannot be negative

Therefore, X = 47 years

Answer:-

Malli's father's age = 47 years

Check:-

Malli's father's age = 47 years

Malli's age = 47-25 = 22 years

After 3 years Malli's father's age = 47+3

= 50 years

After 3 years Malli's age = 22+3 = 25 years

Their product = 50×25 = 1250 years

Verified the given relations.