Who is smaller?

Algebra Level 1

C is 5 years smaller than D.

B is 1 year greater than C.

A is 5 years smaller than B.

If D is 20 years old, find the age of A.


The answer is 11.

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3 solutions

Yajat Shamji
Jun 29, 2020

20 5 = 15 + 1 16 5 = 11 20 - 5 = 15 + 1 - 16 - 5 = \fbox {11}

@Aryan Sanghi

Nice solution. :)

Aryan Sanghi - 11 months, 3 weeks ago

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Use the facts:

D = 20 D = 20

C = 20 5 = 15 C = 20 - 5 = 15

B = 15 + 1 = 16 B = 15 + 1 = 16

A = 16 5 = 11 A = 16 - 5 = 11

Yajat Shamji - 11 months, 3 weeks ago

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I know, I only made it. 😂 It is very easy for our age and standards.

Aryan Sanghi - 11 months, 3 weeks ago

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@Aryan Sanghi You know, I made a sequence that displays all of the natural numbers. I just need to find it.

Your challenge when I make the note on it: write a Python program or algebraic proof that proves all the natural numbers are in this sequence.

But it's not n + 0 n + 0 ...

Yajat Shamji - 11 months, 3 weeks ago

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@Yajat Shamji Ok, I'll do. Mention me in the note when you make it.

Aryan Sanghi - 11 months, 3 weeks ago
Mohammad Khaza
Jul 25, 2017

here it is:

C is 5 years smaller than D.

so, D = 5 + C D=5+C .........................[1]

B is 1 year greater than C.

so, B = 1 + C B=1+C ........................[2]

A is 5 years smaller than B.

so, B = 5 + A B=5+A .......................[3]

now, D=20, so, C = 15 C=15 ...........[1]

and, B = 16 B=16 .............................[2]

and A = 11 A=11 ................................[3]

so,A is 11 years old

D = 20 C = D 5 = 15 B = C + 1 = 16 A = B 5 = 11 \begin{aligned} D&=20\\ C&=D-5=15\\ B&=C+1=16\\ A&=B-5=\boxed{11} \end{aligned}

E a s y Q u e s t i o n : ) Easy Question :-)

Ashish Menon - 5 years, 4 months ago

I mean like, why did u even post a solution

Rishabh Sood - 5 years, 4 months ago

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Sir, I posted this question when I was in class 3rd. If you felt the question was so easy, why did you attempt it. If you solved it that doesn't mean you will post such comments.

Sorry if I hurt your feelings.

Aryan Sanghi - 3 years, 2 months ago

I posted a solution because I wanted to :P

Abdur Rehman Zahid - 5 years, 4 months ago

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