घटनचा
(ii) सोडवा : 2x-3y = 9; 2x+y= 13.
(iv) 10 ते 250 मधील 4 ने भाग जाणाऱ्या नैसर्गिक संख्या किती?
या वर्गसमीकरणाची मुळे वास्तव व समान असल्यास kच
40
Answers
Question 1) :- Solve the event :- 2x-3y = 9; 2x + y = 13.
Answer :-
→ 2x - 3y = 9 ------- Eqn.(1)
→ 2x + y = 13 ------- Eqn.(2)
subtracting Eqn.(1) from Eqn.(2),
→ (2x + y) - (2x - 3y) = 13 - 9
→ 2x - 2x + y + 3y = 4
→ 4y = 4
→ y = 1 .
putting value of y in Eqn.(2),
→ 2x + 1 = 13
→ 2x = 13 + 1
→ 2x = 14
→ x = 7 .
Question 2) :- What is the sum natural number divisible by 4 from 10 to 250 ?
Solution :-
- first term divisible by 4 = 12 = a
- last term = 248 = an
- common difference = 4 .
so,
→ an = a + (n - 1)d
→ 248 = 12 + (n - 1)4
→ 248 = 12 + 4n - 4
→ 248 = 8 + 4n
→ 248 - 8 = 4n
→ 240 = 4n
→ n = 60 .
then,
→ sn = (n/2)[first term + last term]
→ sn = (60/2)[12 + 248]
→ sn = 30 * 260
→ sn = 7800 (Ans.)
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