Question

the sum of an uncles and his nephews ages is 46.three years hence th e uncle will be 3
times the nephew's age . find their present age

Answer 1

let the age of the uncle be x yrs
and the nephew be y yrs

then,

x+y=46....eqn(i)

now,
after 3yrs nephews' age=y+3
and
uncle = x+3

so,
3(y+3)= (3+x)
or,
x+3= 9+3y
or,
x-3y=9-3
or,
x-3y= 6.....eqn(ii)


so,
substracting eqn (ii) from (i),we get,
4y= 40
or,
y=10

thus,
putting the value of x in eqn (i), we get,

x+10=46
or,
x=36

therefore,
the present age of the uncle is 36yrs
and the nephew is 10yrs

Answer 2

36 and 10 is the answer