☛Question :
7. Kapil, Keshav and Karan are planting rice saplings in a field. Kapil has planted x saplings, Keshav has
planted 5 saplings less than Kapil and Karan has planted 5 saplings more than Kapil. How many saplings
have been planted by Keshav and Karan? The total number of saplings to be planted is 100 less than 4
times the number of saplings planted by Kapil. Express the total number of saplings to be planted using X.
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Answers
Saplings planted by Kapil = x
Saplings planted by Keshav = x - 5
Saplings planted by Karan = x + 5
So , saplings planted by Keshav and Karan
= x - 5 + x - 5 = 2x
A/Q Total number of saplings planted
= 4x - 100
Saplings planted by all three of them = x + 2x =3x
Given that total number of saplings = 4x - 100 = 3x ( ∵ the calculation done above proves it )
So , value of x :—
=> 4x - 100 = 3x
=> 4x - 3x = 100
=> x = 100
∴ Total number of saplings planted = 3×100 = 300
Hoping that this satisfies you . . .
Regards ,
idiot2006
★ Given:-
• Saplings planted by Kapil=X
• Saplings planted by Keshav is 5 less than Kapil
• Saplings planted by Karan is 5 more than Kapil
• Total saplings is 100 less than 4 times of planted by Kapil
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★ To find:-
• Saplings planted by Keshav and Karan
• Total number of saplings planted in terms of X.
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★ Solution:-
Kapil has planted X saplings.
So,
Saplings planted by Keshav=X-5
And,
Saplings planted by Karan=X+5
So total saplings planted by Keshav and Karan will be:
⇒ (X-5)+(X+5)
⇒ X-5+X+5
⇒ 2X
So total saplings planted by Keshav and Karan is 2x.
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Now it is given that total saplings planted is 100 less than 4 times of no. Of saplings planted by Kapil.
So,
Total samplings=4(Planted by Kapil)-100
Total samplings=4X-100
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★ Extra:-
In this question you can further find exact value of no. Of Saplings Planted by Kapil, Karan and Keshav separately.
Total samplings=No. Of Saplings planted by (Keshav, Karan, Kapil)
Now put the above finded values:
⇒ 4X-100=(X)+(X-5)+(X+5)
⇒ 4X-100=X+X-5+X+5
⇒ 4X-100=3X
⇒ 4X-3X=100
⇒ X=100
So the number of samplings planted by each of them is:
• Kapil=X=100
• Keshav=X-5=>100-5=>95
• Karan=X+5=>100+5=>105
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I further solved it because your question seems to be incomplete :)