Question

16 ) Ratio of ages of Ram and Shyam is 3:4. Sum of their ages after 5 years
will be 45 years. Find their present ages.​

Answer 1

Answer:

Step-by-step explanation:

Ram age =3x

Shyam age =4x

After 5 years

Ram age =3x+5

Shyam age =4x+5

Sum of their ages after 5 years is 44

(3x+5)+(4x+5)=45

7x+10=45

7x=45-10

7x=35

x=35÷7=5

Ram age =3×5=15

Shyam age=4×5=20

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Answer 2

Solution:-

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

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

$\textsf{Ages after five years,}$

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

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

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

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

$\bold{ \implies7x + 10 = 45}$

$\bold{ \implies7x = 45 - 10}$

$\bold{ \implies7x = 35}$

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

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

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

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