SOLUTION: Divide 98 into two parts wich have the ratio 2:5. Find the smaller number.

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Question 1129088: Divide 98 into two parts wich have the ratio 2:5. Find the smaller number.
Found 3 solutions by MathLover1, ikleyn, MathTherapy:
Answer by MathLover1(20850) About Me  (Show Source):
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Divide 98 into two parts wich have the ratio 2:5. Find the smaller number.
let two parts be a and b such that a%3Cb
a%2Bb=98
b=98-a....eq.1
if a and b have the ratio 2%2F5, we have
a%2Fb=2%2F5.....substitute b from eq.1
a%2F%2898-a%29=2%2F5
5a=2%2898-a%29
5a=196-2a
5a%2B2a=196
7a=196
a=28=>the smaller number
then, we can check the ratio
b=70
28%2F70=4%2F10=2%2F5

Answer by ikleyn(52903) About Me  (Show Source):
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.
The parts are, obviously, 2x and 5x, where x is their common measure.


You are given that


2x + 5x = 98,   or  7x = 98,   which implies  x = 98/7 = 14.


So, the parts are  2*14 = 28  and  5*14 = 70.


Answer.  The parts are 28 and 70.


Answer by MathTherapy(10557) About Me  (Show Source):
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Divide 98 into two parts wich have the ratio 2:5. Find the smaller number.
The 2 from the 2:5 ratio represents the SMALLER number.

Smaller number: