Question

10. If 10 be added to four times a certain number, the result is 5 less than five times the number.
Find the number​

Answer 1

Question:-

• If 10 be added to four times a certain number, the result is 5 less than five times the number.Find the number.

To Find:-

• Find the number.

Given:-

• If 10 be added to four times a certain number, the result is 5 less than five times the number.

Solution:-

Let the number be " x "

According to the Question:-

$\tt\implies \: 10 + 4x = 5x - 5$

$\tt\implies \: 10 + 5 = 5x - 5$

$\tt\implies \: x = 15$

Hence ,

• The number is 15.

Answer 2

Given,

• 10 be added to four times a certain number
• The result is 5 less than five times the number.

To Find,

• The Number.

Solution,

Let's,

The Number = x

As given,

→ 10 + 4 × (x) = 5 × (x) - 5

→ 10 + 4x = 5x - 5

To Finding the Value Of x;

$:\implies 10 + 4x = 5x - 5 \\ \\ :\implies 10 + 4x = 5x - 5 \\ \\ :\implies 10 + 5 = 5x - 4x \\ \\ :\implies \color{red} \boxed{15 = x }$

Check,

$:\implies 10 + 4x = 5x - 5 \\ \\ :\implies 10 + 4x = 5x - 5 \\ \\ :\implies 10 + 4(15) = 5(15) - 5 \\ \\ :\implies 10 + 60 = 75 - 5 \\ \\ :\implies 70 = 70 \\ \\ :\implies LHS = RHS$

Required Answer,

If 10 be added to four times a certain number, the result is 5 less than five times the number.

So,

The Number = 15