Question

in garden there are some rows and column the number of trees in a row is greater than in each column by 10 find the number of trees in each row if total number of trees are 200​

Answer 1

Step-by-step explanation:

Let No. of trees in a row = r

and No. of trees in a column = c

Given,

r = c+10.

Total No. of trees = 200.

We have,

r × c = 200 -------(1)

=> (c+10) × c = 200

=> c² +10c -200 = 0

Solve for roots

=> c² + 20c - 10c - 200 = 0

=> c(c+20) -10(c+20) = 0

=> (c-10)(c+20) = 0

=> c = 10 or -20

c can't be -ve

•°• c = 10

substitute in (1),

r × 10 = 200

=> r = 20

•°• No. of trees in each row = 20.

& No. of trees in each column = 10

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Verification:

20 × 10= 200

and 20- 10 = 10

Data matched

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