Explanation

1. Current Ages:

   • Let Zoya’s current age be $x$
   • Then, Zaid’s current age is $6x$ (since he is six times as old as Zoya).

2. The sum of Ages in 7 Years:

   • In 7 years, Zoya's age will be $x + 7$ and Zaid's age will be $6x + 7$.
   • The sum of their ages in 7 years will be $(x+7)+(6x+7)=49$.

Step 1: Formulate the Equation

x+7+6x+7=49
$$7x+14=49$$

Step 2: Solve for $x$

Subtract 14 from both sides:

$$7x=35$$

Now divide by 7:

$$x=5$$

So, Zoya’s current age is $5$ years and Zaid’s current age is:

$$6x=6\times 5=30$$

Step 3: Determine Zaid’s Age When Zoya Was Born

When Zoya was born, Zaid would have been:

$$30-5=25$$

Explanation

Pattern:

18 + 12 = 30

30 + 12 = 42

42 + 12 = 54

54 + 12 = 66

Logic: Add 12 to each number.

Explanation

Given:

• Price = Rs. 250
• Old sales tax = 8%
• New sales tax = 6%

Step 1: Difference in tax rate
8% − 6% = 2%

Step 2: Calculate 2% of Rs. 250

2/100x250 =5

$$frac{2}{100} times 250 = 5$$

Rs. 5

Explanation

• 2 is the only even prime number.
• A prime number has exactly two factors: 1 and itself.
• The factors of 2 are 1 and 2.

Last verified on 28-09-2026

Explanation

LCM is the smallest number that both 4 and 12 divide evenly into.

12 is a multiple of both 4 and 12, so it's the LCM.

Last verified on 28-09-2026