Question

6. Robin is 25 years younger than his father. After 10 years, their ages will be in the ratio 1:2. Find their
present ages​

Answer 1

Answer:

Their present ages are:

• Robin's age = 15 years
• Robin's father age = 40 years

Step-by-step explanation:

Given that:

• Robin is 25 years younger than his father.
• After 10 years, their ages will be in the ratio 1 : 2.

To Find:

• Their present ages.

Let us assume:

• Robin's age = x years
• Robin's father age = (x + 25) years

• Ages after 10 years.
• Robin's age = (x + 10) years
• Robin's father age = (x + 25 + 10) years

Finding their ages:

• According to the question.

→ (x + 10) / (x + 25 + 10) = 1 / 2

• Cross-multiplication.

→ 2(x + 10) = 1(x + 25 + 10)

→ 2x + 20 = x + 35

→ 2x - x = 35 - 20

→ x = 15

Their present ages are:

• Robin's age = x = 15 years
• Robin's father age = (x + 25) = (15 + 25) = 40 years

Answer 2

Answer:

Now:

father ---- x

Robin ---- x-25

after 10 years:

father = x+10

Robin = x-25 + 10 = x-15

(x-15)/(x+10) = 1/2

2x - 30 = x+10

x = 40

Step-by-step explanation: