Question

Finding the number, by framing equations Q.Two less than four times a number is the same as the number plus 34. Find the number.

Answer 1

Step-by-step explanation:

To solve such equations , your first step should be assuming the number to be x.

Let the number be x

According to the given data ,

$\sf \implies \: 4x - 2 = x + 34$

Collecting the variables to left side and constants to other side of the equation.

$\sf \implies \: 4x - x = 34 + 2$

$\implies \sf \: 3x = 36$

$\sf \implies \: x = \dfrac{36}{3}$

$\implies \sf \: x = 12$

The number is 12.

How do you solve an equation ?

• These questions are known as Equation in one variable .

• To solve a word problem you follow following steps :

1. The very first step is to understand the problem. Just like a human has his language , a mathematics problem too have. So , understand that language.
2. Assign variable to unknown quantity.
3. Translate it to mathematical sentence.
4. Solve the equation for unknown.