SOLUTION: Three times one number added to five times another number is 54. The second number is two less than the first. Use a system of equations to find the numbers.

Question 351655: Three times one number added to five times another number is 54. The second number is two less than the first. Use a system of equations to find the numbers.
Answer by sudhanshu_kmr(1152) (Show Source): You can put this solution on YOUR website!

Let first number is x, second is y.
according to question
3x + 5y = 54 .....(1)
x-2 = y ......(2)
now put y = x-2 in equation (1)
then 3x + 5(x-2) = 54
=> 3x + 5x -10 = 54
=> 8x -10 = 54
=> 8x = 54 + 10
=> x = 64/8 =8

then y = x-2 = 8-2 = 6
so, first number is 8, second is 6.

ometimes there may be typing mistake in solution of a problem, so please ignore it. Understand the concept and try the problem yourself.
RELATED QUESTIONS
Three times one number added to five times another number is 54. The second number is... (answered by checkley71)

Three times a number is added to five times a number to get 54. The second number is two (answered by Stitch)

2 times one number added to 3 times another number is 54. The second number is 2 less... (answered by darq)

Ten times a certain number added five times another number is 170. If the first number... (answered by ikdeep)

Four less than five times a number is tweleve more than another number. Three times the... (answered by solver91311)

Three times one number added to five times a second number is 68. Three times the... (answered by checkley79)

How do I write these? One half of a larger number, plus three times another number is... (answered by josgarithmetic)

One number is five less than a second number. Five times the first is eight more than two (answered by macston,amarjeeth123)

one number is eight more than a second number. three times the first is eight less than... (answered by MathLover1)