The ages of ram and shyam are in the ratio 5:7 four years later the sum of their ages will be 56 years what are their present ages
Answers
Answer:
The age of Ram = 20 years.
The age of Shyam = 28 years*
Given:
Ratio of the ages of Ram and Shyam = 5:7.
Four years later,
The sum of their ages will be 56 years.
To Find:
Present age of Ram and Shyam.
Solution:
Let,
The age of Ram be 5x.
The age of Shyam be 7x.
According to the question,
Four years later,
The age of Ram is (5x+4)
The age of Shyam is (7x+4)
And, the sum of their ages will be 56 years.
=> (5x+4)+(7x+4) = 56 years
=> 5x+4+7x+4 = 56
=> 5x+7x+8 = 56
=> 12x = 56-8
=> 12x = 48
=> x = 48/12
=> x = 4 years
So, the value of x is 4 years.
Now, we have to find their ages.
The age of Ram = 5x = 5*4 = 20 years.
The age of Shyam = 7x = 7*4 = 28 years.
Given :-
The ages of Ram and Shyam are in the ratio 5:7 four years later the sum of their ages will be 56 years
To Find :-
Present ages
Solution :-
Let their present ages be a and b
Given, the ratio is 5:7
a/b = 5/7
7a = 5b
a = 5b/7 (i)
After 4 years
Age of Ram = a + 4
Age of Shyam = b + 4
a + 4 + b + 4 = 56
Using 1
5b/7 + 4 + b + 4 = 56
5b + 28 + 7b + 28/7 = 56
12b + 56/7 = 56
12b + 56 = 56 × 7
12b + 56 = 392
12b = 392 - 56
12b = 336
b = 336/12
b = 28
a = 5b/7
a = 5 × 28/7
a = 5 × 4
a = 20 years
Hence
Age of Ram = 20 years
Age of Shyam = 28 years
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