Explanation

Let number of coins = 3x, 5x, 4x
→ Total value = 264
→ $3x+10x+20x=33x=264\Rightarrow x=8$

$\mathrm{<br>}$2 coins = 5x = 5 × 8 = 40 coins
→ Value = 40 × 2 = 80 

So to get 66, x = 6

33x = 264 → x = 8
33x = 198 → x = 6 → 3x = 18 coins → 1 coins = 18

So likely in your example:

• Ratio = 3:5:4

• Total = 198

• x = 6

• 2 coins = 5x = 30 coins

• Value = ₹60

So if 2 coins value = 66, x = 6.6, which is not clea

Explanation

Explanation

• Sum of two numbers: $-3 + (-5) = -8$
  

• Product: $(-3) times (-5) = +15$
  

Let’s now write an algebraic expression where the sum is $-8$and the product is $+15$.

This is a quadratic expression of the form:

$$x^2 + 8x + 15$$

Explanation

$$(44x+35y)+(34x-25y)$$

$$=(44x+34x)+(35y-25y)$$

$$=78x+10y$$

Explanation

The common difference is $-3$, so the sequence becomes:
$18, 15, 12, 9, 6, 3$
The 3rd mean is the 4th term: 9.

Explanation

Step 1: Multiply the coefficients

$$-5\times 10=-50$$

Step 2: Multiply the variables

• $x cdot x = x^2$
  

• $y cdot y = y^2$
  

• $z cdot 1 = z$
  

• $a$ appears once

• $b$ appears once

Step 3: Combine all parts

$$-50abx^2y^2z$$

Explanation

The first 6 odd numbers are:

$$1,3,5,7,9,11$$

Now calculate their sum:

$$1 + 3 + 5 + 7 + 9 + 11 = 36$$

Now divide by 6 (the number of terms):

$$text{A.M.} = frac{36}{6} = 6$$

Explanation

To find the greatest number among the fractions 34, 3.5, 3.2, let's compare their decimal equivalents:

3/4​=0.75

3/5 = 0.6 

3/2 =1.5

3/2 =1.5  is the greatest.

Explanation

The true statement about an Arithmetic Progression (A.P.) is that the difference between any two consecutive terms is constant. 

Explanation

Calculate the sum of the numbers. 34+44+56+78=212

Divide the sum by the total count of numbers.

There are 4 numbers. 212/4=53