coded language (with reason) SAFTEY-97 EXPAND-87 GATHER-?​

Answer:

[tex]\qquad \:\boxed{\begin{aligned}& \qquad \:\sf \: Present \: age \: of \: son=15 \: years \qquad \: \\ \\& \qquad \:\sf \: Present \: age \: of \: father=45 \: years \end{aligned}} \qquad \\ \\ [/tex]

Step-by-step explanation:

Given that, father is 3 times as old as his son.

Let assume that

Present age of son is x years.

So,

Present age of father is 3x years.

Further given that, after 15 years, he will be twice as old as his son.

After 15 years,

Son age will be x + 15 years

Father age will be 3x + 15 years

So, According to statement,

[tex]\sf \:3x + 15 = 2(x + 15) \\ \\ [/tex]

[tex]\sf \:3x + 15 = 2x + 30 \\ \\ [/tex]

[tex]\sf \:3x - 2x = 30 - 15 \\ \\ [/tex]

[tex]\sf\implies \: x = 15 \\ \\ [/tex]

Hence,

[tex]\sf\implies \:\boxed{\begin{aligned}& \qquad \:\sf \: Present \: age \: of \: son=15 \: years \qquad \: \\ \\& \qquad \:\sf \: Present \: age \: of \: father=45 \: years \end{aligned}} \qquad \\ \\ [/tex]

Answer:

• A father is 3 times as old as his son.
• After 15 years, he will be twice as old as his son.

• What is their present ages ?

Let,

[tex]\mapsto \bf Present\: Age_{(Son)} =\: a\: years\\[/tex]

[tex]\bigstar[/tex] A father is 3 times as old as his son.

So,

[tex]\mapsto \bf Present\: Age_{(Father)} =\: 3a\: years\\[/tex]

❒ After 15 years, their ages will be :-

[tex]\leadsto \sf Age_{(Son)} =\: (a + 15)\: years\\[/tex]

[tex]\leadsto \sf Age_{(Father)} =\: (3a + 15)\: years\\[/tex]

❒ According to the question :-

[tex]\bigstar[/tex] After 15 years, he will be twice as old as his son.

So,

[tex]\small \implies \sf\boxed{\bold{\bigg\{Age_{(Father)}\bigg\} =\: 2\bigg\{Age_{(Son)}\bigg\}}}\\[/tex]

[tex]\implies \sf (3a + 15) =\: 2(a + 15)\\[/tex]

[tex]\implies \sf 3a + 15 =\: 2a + 30\\[/tex]

[tex]\implies \sf 3a - 2a =\: 30 - 15\\[/tex]

[tex]\implies \sf\bold{a =\: 15}\\[/tex]

Hence, the required present ages are :-

[tex]\dag[/tex] Present Age Of Son :

[tex]\dashrightarrow \sf Present\: Age_{(Son)} =\: a\: years\\[/tex]

[tex]\dashrightarrow \sf\bold{\underline{Present\: Age_{(Son)} =\: 15\: years}}\\[/tex]

[tex]\dag[/tex] Present Age Of Father :

[tex]\dashrightarrow \sf Present\: Age_{(Father)} =\: 3a\: years\\[/tex]

[tex]\dashrightarrow \sf Present\: Age_{(Father)} =\: (3 \times 15)\: years\\[/tex]

[tex]\dashrightarrow \sf\bold{\underline{Present\: Age_{(Father)} =\: 45\: years}}\\[/tex]

[tex]\therefore[/tex] The present age of son is 15 years and the present age of his father is 45 years .

Explanation:

Explain degrees of freedom and state the law of equipartition of energy.

Answer:

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Explanation:

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