SOLUTION: the difference between two multiples of 10 is 330 and their sum is 710.find the numbers

Question 627338: the difference between two multiples of 10 is 330 and their sum is 710.find the numbers
Answer by MathTherapy(10555) (Show Source): You can put this solution on YOUR website!

the difference between two multiples of 10 is 330 and their sum is 710.find the numbers

Let the larger and smaller multiplicative factors of the two multiples be L and S, respectively
Then the multiples are 10L & 10S, and since their difference is 330, we have: 10L - 10S = 330 ---- 10(L) - 10(S) = 10(33)
L � S = 33 ------- eq (i)
Also, 10L + 10S = 710 ------ 10(L) + 10(S) = 10(71)
L + S = 71 ----- eq (ii)
L � S = 33 ------- eq (i)
2L = 104 ------ Adding eqs (i) and (ii)
L, or larger multiplicative factor = 104/2, or 52, which means that the larger multiple is 10(52), or

52 � S = 33 ------ Substituting 52 for L in eq (i)
- S = 33 � 52
S, or smaller multiplicative factor = , or 19, which means that the smaller multiple is 10(19), or

You can do the check, I'm sure!!

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