Question

Mike is twice as old as his sister. Together, their ages add up to 30. How old are Mike and his sister?

Answer 1

The sister is 10 and Mike is 20

Explanation:

10 x 2 = 20

10 +20 = 30

Answer 2

Question:- Mike is twice as old as his sister. Together, their ages add up to 30. How old are Mike and his sister?

Given :-

1. Mike age is 2 time his sister age
2. Mike age + his sister age = 30

Answer:-

Let Mike's sister age be x

Then Mike age ATQ = 2 × age of his sister = 2x

Now According to the Question (ATQ):-

`Mike \: age + his \: sister \: age = 30 \\ 2x + x = 30 \\ 3x = 30 \\ \cancel{3}x = \cancel{30} ^( \: \: 10) \\ x = 10`

So Mike age = 2x = 2×10 = 20

Mike's sister age = x = 10

verification of the answer:-

Just put the value in the equation ATQ :-

`Mike \: age + his \: sister \: age = 30 \\ 20 + 10 = 30 \\ 30 = 30 \\ LHS = RHS`