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jok3333 [9.3K]
3 years ago
13

The sum of two numbers is 30 and their difference is 12, what are the two numbers

Mathematics
2 answers:
Nadya [2.5K]3 years ago
6 0

Answer:

Sum: 21 + 9 = 30

Difference: 21 - 9 = 12

Tju [1.3M]3 years ago
3 0

Step-by-step explanation:

Let the number is a <em>and</em><em> </em>b

The sum of two numbers =30

so,a+b=30 <em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>(</em><em>1</em><em>)</em>

The difference of two number =12

so,a-b=12<em> </em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>(</em><em>2</em><em>)</em>

If we add two equation (1) and (2)

we get,

a+b+a-b=30+12

2a=42

\tt{ a=\dfrac{42}{2}  }

\tt{  a=21 }

so,one number is a=21

if we put the value a in (2) equation

we get,

a-b=12

21-b=12

b=21-12

b=9

so,the another number is=b=9

\tt{ the~two~ number~ are~ 21 ~and~ 9  }

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