Math, asked by adiyaann2006, 10 months ago

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 anmol8626
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
anmol8626: welcome!
Answered by Anonymous
3

 \huge \bold \purple{heya \: friend}

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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