Question

The larger of two numbers is 3 times the smaller number. Four times the smaller number, decreased by 2 equals 6 more than the larger number. Find both numbers.

Answer 1

so call the large number a, the small number b

Answer 2

a is 3 times b so 3a = b

Answer 3

4 times the smaller number (4b) decreased by 2 (4b - 2) equals 6 more than the larger number (6a) so 4b - 2 = 6a

Answer 4

okay?

Answer 5

Thank you!

Answer 6

your welcome

Answer 7

I'm not quite sure how you would solve it from there. Do you get both
the variables on one side?

Answer 8

wel the first equation (3a) = b. so you know what b equals. 3a. so the second equation 4b - 2 = 6a, well you can just replace b with 3a, because b = 3a. so that would give you 4(3a) - 2 = 6a

Answer 9

now you need to solve that to get the value of a

Answer 10

So a would equal .3 and b would equal 1?

Answer 11

yeah i get a as 1/3 too. and yeah then b would be 1