Question

Magaret is 32 years younger than her aunt. Magaret worked out that if she added 13 to her age, then tripled it,she would be 1 less than double her aunt's age. Find her aunts's age.​

Answer 1

Let's call Margaret's age "M" and her aunt's age "A".

From the first sentence, we know that:

M = A - 32

From the second sentence, we know that:

3(M + 13) = 2A - 1

Substituting the first equation into the second equation gives:

3(A - 32 + 13) = 2A - 1

Simplifying gives:

3A - 57 = 2A - 1

Subtracting 2A and adding 57 to both sides gives:

A = 56

So Margaret's aunt is 56 years old.