Question

3years ago sanju's age is double of sheela 10years hence sum of their age is 86 what is the age of sanju today

Answer 1

☞ 3 years ago Sanju's age is double of Sheela.

Let present age of Sanju be M years.

And

Present age of Sheela be N years.

• A.T.Q.

$\underline{3\:years\:ago}$

Age of Sanju = (M - 3) years

And

Age of Sheela = (N - 3) years

Age of Sanju is double (2 times) of Sheela.

=> (M - 3) = 2(N - 3)

=> M - 3 = 2N - 6

=> M - 2N = - 6 + 3

=> M - 2N = - 3

=> M = - 3 + 2N _________(eq 1)

______________________________

☞ 10 years hence. Sum of their age is 86.

$\underline{10\:years\:hence}$

Age of Sanju = (M + 10) years

And

Age of Sheela = (N + 10) years

• A.T.Q.

=> M + 10 + N + 10 = 86

=> M + N + 20 = 86

=> M + N = 86 - 20

=> M + N = 66 ________(eq 2)

=> (- 3 + 2N) + N = 66 [From (eq 1)]

=> - 3 + 2N + N = 66

=> - 3 + 3N = 66

=> 3N = 66 + 3

=> 3N = 69

=> N = 23

• Put value of N in (eq 1)

M = - 3 + 2N

=> M = - 3 + 2(23)

=> M = - 3 + 46

=> M = 43

______________________________

Present age of Sanju = M years = 43 years

And

Present age of Sheela = N years = 23 years.

____________________[ANSWER]