Question

$\frak{find \: a \: number \:such \: that \: one \: fourth \: of \: the \: numbers \: is \: 3 \: more \: than \: seven ? }$
​

Answer 1

Solution :

• The number is 16

Step by step detailed explanation :

Let us assume the number as x ,

So according to the given statement we have ,

• $\sf\implies\:\dfrac{1}{4}x\:+\:3\:=\:7$

• $\sf\implies\:\dfrac{1}{4}x\:+\:=\:7\:-\:3$

• $\sf\implies\:\dfrac{1}{4}x\:=\:4$

• x = 4 × 4

• x = 16

Verification of the solution obtained :

• $\sf\implies\:\dfrac{1}{4}\:\times\:16\:+\:3\:=\:7$

• $\sf\implies\:4\:+\:3\:=\:7$

• 7 = 7

• LHS = RHS

Answer 2

Answer:

Solution :

The number is 16

Step by step detailed explanation :

Let us assume the number as x ,

So according to the given statement we have ,

\sf\implies\:\dfrac{1}{4}x\:+\:3\:=\:7⟹

4

1

x+3=7

\sf\implies\:\dfrac{1}{4}x\:+\:=\:7\:-\:3⟹

4

1

x+=7−3

\sf\implies\:\dfrac{1}{4}x\:=\:4⟹

4

1

x=4

x = 4 × 4

x = 16

Verification of the solution obtained :

{1}{4}\:\times\:16\:+\:3\:=\:7⟹

4

1

×16+3=7

\sf\implies\:4\:+\:3\:=\:7⟹4+3=7

7 = 7

LHS = RHS

Step-by-step explanation:

Hope it helps you ✌️