What will be my new age?

Algebra Level 2

Five years ago, I am twice as old as Ana. Today, my age is 15 more than the age of Ana. Tomorrow is my birthday. What will be my age tomorrow?

37 34 36 35

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1 solution

Relevant wiki: Setting Up Equations

let M M be my age today and A A be the age of Ana today

the equations are:

M = 15 + A M=15+A \implies today \text{today}

M 5 = 2 ( A 5 ) M-5=2(A-5) \implies five years ago \text{five years ago}

Substituting the first equation to the second equation, we get

15 + A 5 = 2 A 10 15+A-5=2A-10 \implies A = 20 A=20

It follows that,

M = 15 + A = 15 + 20 = 35 M=15+A=15+20=35

Finally,

M + 1 = M+1= 36 \boxed{\color{#D61F06}36}

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