Question

the age of Shyam and ram are in the ratio of 3:5 four years later sum of their ages will be 72 find present age of​

Answer 1

Answer:

Solution:-

\textsf{Let the common ratio be x}Let the common ratio be x

\textsf{Now, Age of Ram= 3x < /p > < p > Age of Shyam= 4x}Now, Age of Ram= 3x < /p > < p > Age of Shyam= 4x

\textsf{Ages after five years,}Ages after five years,

\textsf{Age of Ram after years= (3x+5)years}Age of Ram after years= (3x+5)years

\textsf{Age of Shyam after five years= (4x+5)years}Age of Shyam after five years= (4x+5)years

\textsf{Now, sum of ages of ram and Shyam after five years= 45}Now, sum of ages of ram and Shyam after five years= 45

\bold{ \implies (3x + 5) + (4x + 5) = 45}⟹(3x+5)+(4x+5)=45

\bold{ \implies7x + 10 = 45}⟹7x+10=45

\bold{ \implies7x = 45 - 10}⟹7x=45−10

\bold{ \implies7x = 35}⟹7x=35

\bold{ \implies \: x = \frac{35}{7}}⟹x=

7

35

\huge\purple\star\red{\boxed{ \underline{ \mathfrak{ \implies \: x = 5}}}}⋆

⟹x=5

\textsf{Present age of ram =3x= 3(5)= 15 years}Present age of ram =3x= 3(5)= 15 years

\textsf{Present age of Shyam= 4x= 4(5)= 20 years}Present age of Shyam= 4x= 4(5)= 20 years

Step-by-step explanation:

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Answer 2

Let the common ratio be x

Now, Age of Shyam= 3x Age of Ram=5x

Ages after four years,

Age of Shyam after years= (3x+4)years

Age of Ram after five years= (5x+4)years

Now, sum of ages of ram and Shyam after five years=72

⟹(3x+4)+(5x+4)=72

⟹3x+4+5x+4=72

⟹3x+8+5x=72

⟹8x+8=72

⟹8x+8-8=72-8

⟹8x=64

$⟹ \frac{8x}{8} = \frac{64}{8}$

⟹x=8

$\small\textsf{Present age of Shyam=3x= 3(8)= 24 \: years}$

$\small{\textsf{Present age of Ram= 5x= 5(8)= 40 years}}$