The sum of the ages of Ram and Shyam is 36 years .Ram is elder to Shyam by 10 years .Find Shyam's age? *
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Let Shyam's age be 'x' years and Ram's age be 'y' years.
According to 1st condition,
y + x = 36
:. x + y = 36 >> (i)
According to 2nd condition,
y = x + 10
y - x = 10
:. - x + y = 10 >> (ii)
Adding eqn (i) and (ii)
x + y = 36
- x + y = 10
2y = 46
y = 46
2
:. y = 23 years.
Subs y = 23 in (i)
i.e. x + y = 36
x + 23 = 36
x = 36 - 23
:. x = 13 years.
Hence, Shyam' s age is 13 years.
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