Question

The ages of Ram and Sham are in the ratio 2.3. 5 years from now the ratio of their ages will be 1:2 Find their present ages . Answer me fast

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Answer 1

The ages of Ram and Shyam are in the ratio 2:1 and after 5 years their ratios are 3:2, then what is the present age?

Solution: The current ages of Ram and Shyam are R and S.

R:S = 2:1 or

R = 2S, or

2R = 4S …(1)

(R+5):(S+5) = 3:2, or

2R+10 = 3S+15, or

2R = 3S+5 …(2)

From (1) and (2): 4S = 3S+5, or S = 5.

So, Shyam is 5 years nor and Ram is 10. Answer.

Answer 2

Answer:

• The ages of Ram and Sham are 10 and 15 years

Step-by-step explanation:

Given:

• The ages of Ram and Sham are in the ratio 2:3
• 5 years from now the ratio of their ages will be 3:4

To Find:

• Their present ages

Assumptions:

• Let the age of Ram be 2x
• Let the age of Sham be 3x

Full Solution:

✰The age of Ram and Sham after 5 years will be,

$\rightarrow \rm { Age \: of\; Ram = 2x + 5 }$

$\rightarrow \rm { Age \: of\; Sham = 3x + 5 }$

✰ According to the question,

$\rightarrow \rm { \dfrac{2x + 5}{ 3x+5} =\dfrac{3}{4}}$

✰ By Cross Multiplication,

$\rightarrow \rm {4(2x+5)=3(2x+5) }$

$\rightarrow \rm {8x + 20 = 9x + 15 }$

$\rightarrow \rm {9x - 8x = 20 - 15}$

$\rightarrow {\pink{\boxed{\frak {x = 5}}}}$

Hence,

• The age of Ram = 2x = 2(5) = 10 Years
• The age of Sham = 3x = 3(5) = 15 years

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