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Explanation:

Let the present age of father = f years

The present age of mother = m years

The present age of the kid = k years

f + n = 4(k + n)                                    …(i)

m + n = 3(k + n)                                  …(ii)

Equation (i) - equation (ii)

fm = k + n                                        …(iii)

Equation (i) + equation (ii)

f + m + 2n = 7k + 7n = 7(k + n)          …(iv)

From statement A,

fm = 10

Substituting in equation (iii), we get,

k + n = 10

∴ The combined age of the parents after n years

= 7(k + n)

= 7 × 10 = 70 years\

∴ Statement A alone is sufficient.

From statement B,

k + n = 2k

n = k                                                       …(v)

Substituting equation (v) in equation (iii), we get,

fm = 2n

Substituting equation (v) in equation (iv), we get,

f + m = 14n − 2n

f + m = 12n

∵ The value of n is not known .

∴ We cannot find the combined age of parents.

∴ Statement B alone is not sufficient.

Hence, option (a).

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