Age problem

Algebra Level 2

Ana is 10 10 years older than Jill. Jill is 5 5 years younger than Elizabeth. If the age of Ana is 40 40 , how old is Elizabeth?

35 30 25 40

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2 solutions

Mohammad Khaza
Oct 2, 2017

Ana(40)>Jill(40-30)<Elizabeth(30+5) \text{Ana(40)>Jill(40-30)<Elizabeth(30+5)}

so, Elizabeth is 35 years old \text{so, Elizabeth is 35 years old}

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A = 10 + J A=10+J ( 1 ) \color{#D61F06}(1)

J = E − 5 J=E-5 ( 2 ) \color{#D61F06}(2)

However, A = 40 A=40 , substitute this in ( 1 ) \color{#D61F06}(1) , we have

40 = 10 + J 40=10+J ⟹ \implies J = 40 − 10 = 30 J=40-10=30

Now substitute J = 30 J=30 in ( 2 ) \color{#D61F06}(2) , we get

30 = E − 5 30=E-5 ⟹ \implies E = 30 + 5 = E=30+5= 35 \color{#D61F06}\boxed{35}

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