Math, asked by rathoremahek2008, 1 month ago

Ramu's father's present age is six times Ramu's present age. Ramu's age five years from now will be one third of his father's present age. What are their present ages?​

Answers

Answered by Anonymous
22

Answer:

Given :-

  • Ramu's father's present age is six times Ramu's present age.
  • Ramu's age five years from now will be one third of his father's present age.

To Find :-

  • What are their present ages.

Solution :-

Let,

\mapsto \bf Ramu's\: Present\: Age =\: x\: years

\mapsto \bf Ramu's\: Father's\: Present\: Age =\: 6x\: years

Five years from now their ages will be :

\leadsto \sf Ramu's\: Age =\: (x + 5)\: years

\leadsto \sf Ramu's\: Father's\: Age =\: (6x + 5)\: years

According to the question,

\bigstar Ramu's age five years from now will be one-third of his father's present age.

\implies \sf x + 5 =\: \dfrac{1}{3} \times 6x

\implies \sf x + 5 =\: \dfrac{\cancel{6}x}{\cancel{3}}

\implies \sf x + 5 =\: \dfrac{2x}{1}

\implies \sf x + 5 =\: 2x

\implies \sf x - 2x =\: - 5

\implies \sf {\cancel{-}} x =\: {\cancel{-}} 5

\implies \sf\bold{\purple{x =\: 5}}

Hence, their present ages will be :

Ramu's Present Age :

\longrightarrow \sf Present\: Age_{(Ramu)} =\: x\: years

\longrightarrow \sf\bold{\red{Present\: Age_{(Ramu)} =\: 5\: years}}

Ramu's Father's Present Age :

\longrightarrow \sf Present\: Age_{(Ramu's\: Father)} =\: 6x\: years

\longrightarrow \sf Present\: Age_{(Ramu's\: Father)} =\: 6 \times 5\: years

\longrightarrow \sf\bold{\red{Present\: Age_{(Ramu's\: Father)} =\: 30\: years}}

{\small{\bold{\underline{\therefore\: The\: present\: age\: of\: Ramu\: and\: his\: father's\: age\: are\: 5\: years\: and\: 30\: years\: respectively\: .}}}}

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

VERIFICATION :-

\leadsto \sf x + 5 =\: \dfrac{1}{3} \times 6x

By putting x = 5 we get,

\leadsto \sf 5 + 5 =\: \dfrac{1}{3} \times 6(5)

\leadsto \sf 10 =\: \dfrac{1}{3} \times 30

\leadsto \sf 10 =\: \dfrac{\cancel{30}}{\cancel{3}}

\leadsto \sf 10 =\: \dfrac{10}{1}

\leadsto \sf\bold{\green{10 =\: 10}}

Hence, Verified.

Answered by mjkhichi5
0

Step-by-step explanation:

570,932,853,639,?*

5252

Similar questions