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.

Question

anonymous · Answer

so call the large number a, the small number b

anonymous · Answer

a is 3 times b so 3a = b

anonymous · Answer

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

anonymous · Answer

okay?

anonymous · Answer

Thank you!

anonymous · Answer

your welcome

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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