Question

Ratio of ages of ram and shyam is 3.4 sum of their ages after sycur we'll be 45 years find their Present eyes.

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Answer 1

• Answer: Ram's age = 5× 3 = 15 yrs               Shyam's age = 4× 5 = 20 yr

Step-by-step explanation:

For a Quadratic Polynomial :

Sum of Zeros = -5

Product of Zeros = 6

The Quadratic Polynomial.

If the sum and product of zeros of any quadratic polynomial are S and P respectively,

     Then,

The quadratic polynomial is given by :-

Here,

Sum = S = -5

Product = P =6

So,

Required Polynomial should be :

x² - Sx + p

x² -(-5)x + 6

x² + 5x + 6

                                                OR

Ratio of ages= 3:4

Let Ram's age = 3x ….Shyam's age = 4x

A.T.Q

After 5 yr

Age of Ram = 3x + 5

Age of Shyam = 4x + 5

So,3x +5 + 4x + 5 = 45

7x + 10 = 45

7x = 35

x = 5

So, Ram's age = 5× 3 = 15 yrs

Shyam's age = 4× 5 = 20 yr

Answer 2

Answer:

Solution:-

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

$\textsf{Now, Age of Ram= 3x Age of Shyam= 4x}$

$\textsf{Ages after five years,}$

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

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

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

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

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

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

$\bold{ \implies7x = 35}⟹7x=35$

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

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

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

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