Find the greatest common factor of 14 and 28

Mathematics

1 answer:

Over [174]3 years ago

8 0

The greatest common factor of 14 and 28 is 14

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Sonali's father age is 5 year 3 times more then Sonali. find out Sonali age if her father age is 44.

enyata [817]

<h2><u>Given</u></h2>

Age of sonali father is year 3 times more then Sonali.

Age of sonali father is 44.

Age of sonali

<h2><u>Solution</u></h2>

Let assume the age of sonali be x

➡ Age of sonali = 3x + 5

➡ Age of sonali father = 44

<h3><u>According to the </u><u>question</u></h3>

<u> $\boxed{\sf \: \large\bf{\red{ \implies}} \: \Large\rm{\purple{ 3x + 5 = 44}}}$ </u>

Now , Solving this linear equation.

$\begin{cases}\large\bf{\orange{ \implies}} \: \Large\tt{\blue{ 3x + 5 = 44}} \\ \\\large\bf{\orange{ \implies}} \: \Large\tt{\blue{ 3x \: = \: 44 \: - \: 5}} \\ \\\large\bf{\orange{ \implies}} \: \Large\tt{\blue{ 3x \: = \:39 }} \\ \\\large\bf{\orange{ \implies}} \: \Large\tt{\blue{ x \: = \: \frac{39}{3} }} \\ \\ \large\bf{\orange{ \implies}} \: \Large\tt{\blue{ x \: = \: \frac{ \cancel{39}\rm \tiny{\red{ \: \: \small^{13} }}}{ \cancel{3}} }} \\ \\\large\bf{\orange{ \implies}} \: \Large\tt{\blue{ x \: = \: 13 }}\end{cases}$