A Number Divided By 4 Less Than 7 The Result Is 35 What Is The Number
a number divided by 4 less than 7 the result is 35 what is the number
Algebraic Equation
[tex] \normalsize\blue{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]
[tex]\large\underline{\mathbb{PROBLEM:}}[/tex]
a number divided by 4 less than 7 the result is 35 what is the number
[tex]\large\underline{\mathbb{ANSWER:}}[/tex]
Translation of algebraic equation [tex] \large \underline{\boxed{\tt {\green{\frac{x}{4} – 7 = 35 }}}}[/tex]
The value of missing number [tex] \large \underline{\boxed{\tt \purple{x = 168}}}[/tex]
[tex]\large\underline{\mathbb{SOLUTION:}}[/tex]
You only do is transpose the left quantities to right. First is the 7, it will change the sign because of transposition. And the 4 which from division to multiplication.
- [tex] \large \tt \frac{x}{4} – 7 = 35 \\ \\ \large \tt \frac{x}{4} = 35 + 7 \\ \\ \large \tt \frac{x}{4} = 42\\ \\ \large \tt x = (42)(4) \\ \\ \large \tt x = \green{168}[/tex]
Let’s check if it’s the answer is correct. We will use the translation of algebraic equation.
- [tex] \large \tt \frac{x}{4} – 7 = 35 \\ \\ \large \tt \frac{168}{4} – 7 = 35 \\ \\ \large \tt 42 – 7 = 35 \\ \\ \large \tt \boxed{ \tt\green{ 35 = 35}}[/tex]
Therefore, the missing number is 168.
[tex] \normalsize\blue{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]
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