Person Age | MCQs

Explanation

Explanation

 Let present age = x

Given:

x + 15 = 4x − 15

→ 15 + 15 = 4x − x

→ 30 = 3x

→ x = 10

Explanation

Given:

1. Ten years ago, C's mother was 4 times as old as C:

10 years ago, C = 15 → mother = 4×15 = 60 → Now = 70

After 10 years, mother = 80 → 2×25 = 50

Explanation

Let's define the ages of the three people:

• Let David's age be $D$.
• John's age is 4 years more than David's, so John's age is $D+4$.
• Joe's age is 2 years less than David's, so Joe's age is$D-2$.

The sum of their ages is given as 41:

$$(D)+(D+4)+(D-2)=41$$

1. Simplify the equation:

   $$D + D + 4 + D - 2 = 41$$ $$3D + 2 = 41$$

2. Subtract 2 from both sides:

   $$3D = 39$$

3. Divide both sides by 3:

   $$D = 13$$

So, David is 13 years old.

• John's age is $D + 4 = 13 + 4 = 17$ years.
• In 8 years, John's age will be: $$17 + 8 = 25 text{ years}$$

Explanation

Let current ages be:

• Ahsan = $A$

• Shakeel = $S$
  

Condition 1 (Five years ago):

$$A-5=7(S-5)\text{(Equation 1)}$$

Condition 2 (Three years later):

$$A + 3 = 3(S + 3) quad text{(Equation 2)}$$

Solving the equations:

From Equation 1:

$$A - 5 = 7S - 35 Rightarrow A = 7S - 30 quad text{(Equation 3)}$$

Substitute into Equation 2:

$$(7S - 30) + 3 = 3(S + 3) Rightarrow 7S - 27 = 3S + 9 Rightarrow 7S - 3S = 9 + 27 Rightarrow 4S = 36 Rightarrow S = 9$$

Now, plug back to find Ahsan's age:

$$$$A = 7S - 30 = 7(9) - 30 = 63 - 30 = 33