Question

The sum of two numbers, a and b, is 12. The first number, a, is 8 more than the second number.

Answer 1

Heya!
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▪Given that ,
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✔A and B are two numbers !


According to the given question :
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A + B = 12 ------------------------(1)

A = 12 - B -------------------------(2)

A = B + 8 ------------------------(3)


From (2)


A = 12 - B


Put this value in (3)


12 - B = B + 8


12 - 8 = B + B

4 = 2B

B = 2
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From (2)


A = 12 - 2

A = 10
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✔Numbers are 10 and 2


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Answer 2

Let a = x

The sum of the two numbers is 12:

b = 12 - x

Form equation:

Given that a is 8 more than the second:

⇒ x = (12 - x) + 8

Solve x:

x = (12 - x) + 8

x = 12 - x + 8

2x = 20

x = 10

Find the numbers:

a = x = 10

b = 12 - x = 12 - 10 = 2

Answer: The two numbers are 10 and 2.