Question

The sum of two numbers is 24. The second number is 4 more than the first number. Let a represent the first number and let b represent the second number. What are the two numbers? Use the table to answer the question. Numbers a b a b = 24 Check b = a 4 8 16 24 10 14 24 11 13 24 15 9 24 8 and 16 10 and 14 11 and 13 15 and 9.

Answer 1

We can take variables to assume those numbers and then evaluate both numbers according to given condition.

The numbers a and b are:

a = 10

b = 14

Given that:

• Sum of two numbers = 24
• First number denoted by a
• Second number denoted by b
• The second number = 4 more than first number.

To find:

Value of a and b

Formation of equation:

Since second number = 4 more than the first number, thus we have:

b = 4  + a

Since sum of both numbers is 24. thus:

a + b = 24

Both equation form a system of linear equations.

Substituting the value of b from first equation in second equation, we get:

$a + b = 24\\a + (4+a) = 24\\4 + 2a = 24\\2a = 24 - 4\\\\a = \dfrac{20}{2} = 10$

Thus, we have:

$b = a + 4\\b = 10 + 4 = 14$

Thus, first number = a = 10

Second number = b = 14

Learn more about solution of system of linear equations here:

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