Math, asked by Anonymous, 9 months ago

mates help to solve this question it's urgent

ch quadratic equations class 10​

Attachments:

Answers

Answered by RvChaudharY50
272

Sᴏʟᴜᴛɪᴏɴ :-

Let us Assume that, initially ramesh has x chocolates and suresh has y chocolates. ( where x > y).

Than,

(x + y) = 25 ----------- Eqn(1).

Now, suresh give 1 chocolate to ramesh .

So,

Now suresh have = (y - 1) chocolates.

→ Ramesh have = (x + 1) chocolates .

A/q,

(x + 1)² - (y - 1)² = 125

→ (x² + 2x + 1) - (y² - 2y + 1) = 125

→ x² + 2x + 1 - y² + 2y - 1 = 125

→ (x² - y²) + 2(x + y) = 125

Putting values of (x + y) from Eqn (1) in LHS,

→ (x² - y²) + 2*25 = 125

→ (x² - y²) = 125 - 50

→ (x² - y²) = 75

→ (x + y)(x - y) = 75

Again, Putting values of (x + y) from Eqn (1) in LHS,

→ 25 * (x - y) = 75

→ (x - y) = 3 ------------- Eqn(2).

____________

Now,

Adding Both Eqns. we get,

(x + y) + (x - y) = 25 + 3

→ x + x + y - y = 28

→ 2x = 28

→ x = 14 (Ans.)

Putting This value in Eqn.(1) Now,

(14 + y) = 25

→ y = 25 - 14

→ y = 11 (Ans.)

Hence, initially ramesh has 14 chocolates and suresh has 11 chocolates.

Answered by Anonymous
2

SaTyAmmmmm follow mee

Let us Assume that, initially ramesh has x chocolates and suresh has y chocolates. ( where x > y).

Than,

→ (x + y) = 25 ----------- Eqn(1).

Now, suresh give 1 chocolate to ramesh .

So,

→ Now suresh have = (y - 1) chocolates.

→ Ramesh have = (x + 1) chocolates .

A/q,

→ (x + 1)² - (y - 1)² = 125

→ (x² + 2x + 1) - (y² - 2y + 1) = 125

→ x² + 2x + 1 - y² + 2y - 1 = 125

→ (x² - y²) + 2(x + y) = 125

Putting values of (x + y) from Eqn (1) in LHS,

→ (x² - y²) + 2*25 = 125

→ (x² - y²) = 125 - 50

→ (x² - y²) = 75

→ (x + y)(x - y) = 75

Again, Putting values of (x + y) from Eqn (1) in LHS,

→ 25 * (x - y) = 75

→ (x - y) = 3 ------------- Eqn(2).

____________

Now,

Adding Both Eqns. we get,

→ (x + y) + (x - y) = 25 + 3

→ x + x + y - y = 28

→ 2x = 28

→ x = 14 (Ans.)

Putting This value in Eqn.(1) Now,

→ (14 + y) = 25

→ y = 25 - 14

→ y = 11 (Ans.)

Hence, initially ramesh has 14 chocolates and suresh has 11 chocolates.

Similar questions