Question

$x + \frac{x}{4} = 20$

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Answer 1

◦•●◉✿αηsωεя✿◉●•◦

X + X /4 = 20

4x + X /4 = 20

5X /4 = 20

X = 20 × 4/5

X = 4 × 4

X = 16

Answer 2

$\rule{400}4$

☆ ANSWER:-

▪︎ Given equation:-

$\sf \leadsto \: x + \frac{x}{4} = 20$

▪︎ To Find:-

• The value of x.

$\rule{400}2$

▪︎ Now,

• Let us first understand how we are going to solve this problem.

• Here we will use transportation method.

• We will firstly put the variable towards LHS and all constants towards RHS.

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▪︎ So Lets solve it:-

$\tt\mapsto \: x + \frac{x}{4} = 20 \\ \\ \tt\mapsto \frac{(x \times 4) + 4}{4} = 20 \\ \\ \sf(taking \: lcm) \\ \\ \tt\mapsto \frac{4x + x}{4} = 20 \\ \\ \tt\mapsto5x = 20 \times 4 \\ \\ \tt\mapsto5x = 80 \\ \\ \tt\mapsto \: x = \cancel\frac{80}{5} \\ \\ \tt\large\red{\fbox{\mapsto \: x = 15.}}$

${\small{\green{\boxed{\bold{\therefore{The\:req.\:value\:of\:x\:=\:15.}}}}}}$

$\rule{400}4$