A larger number is twelve morethan a smaller. Their sum is84. Find the numbers.

Mathematics

2 answers:

Svetllana [295]3 years ago

6 0

Answer:

The smaller number ⇒ y = 36

The larger number ⇒ x = y + 12 = 36 + 12 = 48

Step-by-step explanation:

Let the larger number be = x

Let the smaller number be = y

As the larger number is twelve more than a smaller, so

x = y + 12

As the sum of larger and smaller numbers is 84, so

x + y = 84

now substituting x = y + 12 in th equation x + y = 84

x + y = 84

(y + 12) + y = 84

2y + 12 = 84

subtract 12 from both sides

2y + 12 - 12 = 84 - 12

2y = 72

divide both sides by 2

2y/2 = 72/2

y = 36

Thus,

The smaller number ⇒ y = 36

The larger number ⇒ x = y + 12 = 36 + 12 = 48

Elenna [48]3 years ago

4 0

Answer: bigger number is 48 and smaller number is 36

Step-by-step explanation:

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Step-by-step explanation:

Base =16 ft and Height = 18 ft

Area of the parallelogram = base × height

=16× 18 square units

= 288 square units

Base = 9 m and height = 5 m

Area of the parallelogram = base × height

=(9×5) $m^2$

=45 $m^2$

3 .

Height = 4 in and parallel sides are 12 in and 5 in

Area of the trapezoid = $\frac {1}{2} \times( {\textrm{sum of the parallel sides}}) \times height$