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Algebra Level 1

If a + b = 10 , c + c = 6 , c + b = 5 , and a + d = 11. \begin{aligned} a + b &= 10, \\ c + c &= 6, \\c + b &= 5, \text{ and} \\ a + d &= 11. \end{aligned} then what is the value of d d ?


The answer is 3.

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3 solutions

Mohammad Khaza
Jul 28, 2017

c + c = 6 c+c=6

or, 2 c = 6 2c=6

or, c = 3 c=3 .....................[1]

now, c + b = 5 c+b=5

or, 3 + b = 5 3+b=5

or, b = 2 b=2 .......................[2]

again, a + b = 10 a+b=10

or, a + 2 = 10 a+2=10

or, a = 8 a=8 .......................[3]

so, a + d = 11 a+d=11

or, 8 + d = 11 8+d=11

or, d = 3 d=3

Manish Kumar
Oct 25, 2015

bcz c +c = 6, so c = 3
and c + b = 5 so b = 2
and a + b = 10 so a = 8
and a +d = 11 so finally d = 3
d = 3



Anish Harsha
Oct 5, 2015

As c + c = 6 c + c = 6 , then c = 3 c = 3 .
We found the value of c c , then the equation c + b = 5 c + b = 5 , we can substitute the value for c c , so the answer is, 3 + b = 5 3 + b = 5 , then b = 2 b = 2
Go to the first equation, a + b = 10 a + b = 10 , then a + 2 = 10 a + 2 = 10 , a = 8 a = 8 .

At last, a + d = 11 a + d = 11 , 8 + d = 11 8 + d = 11 , d = 3 d = 3

c + c = 6 :P

manish kumar - 5 years, 7 months ago

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