Question

10. Five years ago, A's age was
5 years less than twice B's age. Three years from now, one third of B's age
12 years less than A's age. Find their present ages.
Two-digit Numbers​

Answer 1

Answer:

A's age = 25 and B's age = 10.

Step-by-step explanation:

Present age of A=25 years and that of B=10 years

Let the present age of A be y and of B is x

Now according to 1st condition

⇒4(x − 5) = y − 5

⇒4x − 20 = y − 5

⇒y = 4x − 15

(i) Now according to 2nd condition

⇒5 + y = 2(x + 5)

∴ 5 + (4x − 15) = 2(x + 5)

∴ x = 10

now from eq. (i) we get,

⇒y = 25

∴ y = 25 and x = 10

A's age = 25 and B's age = 10.