Question

Find two numbers whose sum is 49. If the greater is 4 more than 8 times the smaller. Solve

Answer 1

5 and 44

Step-by-step explanation:

smaller number: x

greater number: 8x + 4

x + 8x + 4 = 49

9x + 4 = 49

9x = 45

x = 5

smaller number: 5

greater number: ?

8(5) + 4 = 40 + 4 = 44

5 + 44 = 49

Hope that helps.

Answer 2

I got
44
and
5
Step-by-step explanation:
Call the numbers
x
and
y
, you get:
x
+
y
=
49

x
=
8
y
+
4

substitute the second equation into the first:
8
y
+
4
+
y
=
49

9
y
=
45

y
=
45
9
=
5

so that:
x
=
8
⋅
5
+
4
=
44