Question

One-fourth of a number increased by 1 is equal to 4. Find the number.​

Answer 1

Answer:

Let the number be x

x/4 + 1 = 4

x/4 = 4 - 1

x/4 = 3

x = 4 * 3

x = 12

Answer 2

$\underline{\underline{\bf SOLUTION :}}$

Let the number be x

So,

now one fourth of number is

$\bf \frac{1}{4} \times x\\\\=\frac{x}{4}$

Increased by 1  equal to 4, which is

$\bf \frac{x}{4}+1=4\\\\\rightarrow \frac{x}{4}=4-1 \\\\[\bf transporting\:\:1 to \:\:RHS]\\\\\rightarrow \frac{x}{4}=3\\\\\rightarrow x = 3\times4\\\\ [\bf transporting 4 to RHS]\\\\\rightarrow x = 12$

Hence,

The value of x = 12

Therefore the number is 12

$\underline{\underline{\bf Verification}}$

$\bf LHS= \frac{x}{4}+1\\\\= \frac{12}{4}+1\\\\= 3+1\\=4 = RHS$

Hence,

RHS = LHS

verified