divide 120 into two parts such that 2/3 of one part is equal to 2/5 of the other part.
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Answers
Answered by
3
Let the first part = x
Second part = 120 - x
According to the problem given ,
2/3 of first part = 2/5 of second part
2/3 × x = 2/5 × ( 120 - x )
Multiply 1/2 bothsides, we get
x /3 = (120 - x ) /5
5x = 3( 120 - x )
5x = 360 - 3x
5x + 3x = 360
8x = 360
x = 360/8
x = 45
Therefore ,
First part = x = 45
Second part = 120 - x
= 120 - 45
= 75
I hope this helps you.
adiyaann2006:
thank you
Answered by
3
Let one part be 'a'.
So the other part will be 120-a.
Now, according to the question,
2/3a=2/5×(120-a)
2/3a×5/2=120-a
5/3a=120-a
5/3+a=120
5a+3a/3=120
8a/3=120
a=120×3/8
a=45
Thus, the second part will be 120-a=120-45=75
Answer:
45 and 75
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