The sum of two numbers is 48. If one third of one number is 5 greater than one sixth of another number, which of the following i

Question

WITCHER [35]

3 years ago

6

The sum of two numbers is 48. If one third of one number is 5 greater than one sixth of another number, which of the following i

s the smaller number?
a. 6
b. 26
c. 22
d. 42

Mathematics

1 answer:

lubasha [3.4K] · Answer 1 · 2022-04-12T09:56:34+03:00

<span>The sum of two numbers is 48.
a + b = 48
;
If one third of one number is 5 greater than one sixth of another number,
a = b + 5
multiply both sides by 6, cancel the fractions
2a = b + 30
2a - b = 30
</span><span>use elimination to solve this
a + b = 48
2a - b =30
-------------Addition eliminates b, find a
3a = 78
a =
a = 26
then
26 + b = 48
b = 48 - 26

b = 22</span>