Question

4. The sum of twice a number and thrice the number is 100. Find the number.
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Answer 1

Answer:

$x = 20$

required number is 20

Step-by-step explanation:

$2x + 3x = 100 \\ 5x = 100 \\ x = \frac{100}{5} = 20 \\ \\ x = 20$

Answer 2

Answer :-

• The number is 20.

Given :-

• Sum The sum of twice a number and thrice the number is 100.

To find :-

• The number.

Solution :-

Let the number be x

• Twice the number = x × 2 = 2x
• Thrice the number = x × 3 = 3x
• And there sum is 100.

So, The equation will be :-

➜ 2x + 3x = 100

➜ 5x = 100

➜ $\bf x = \dfrac{100}{5}$

➜ x = 20

Therefore, The number is 20.

1. Twice the number = 20 × 2 = 40.
2. Thrice the number = 20 × 3 = 60.

Verification :-

➜ 2x + 3x = 100

By placing 20 in place of x, We get :-

➜ 2(20) + 3(20) = 100

➜ 40 + 60 = 100

➜ 100 = 100

Hence , Verified.