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Samar shah
@samar-shah
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Joined: Jun 14, 2021
Last seen: Jul 17, 2023
Topics: 0 / Replies: 2321
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Answer to: Solve the following linear equations. 1. m – (m – 1)/2 = 1 – (m – 2)/3 2. 3(t – 3) = 5(2t + 1) 3. 8. 15(y – 4) –2(y – 9) + 5(y + 6) = 0

1. m – (m – 1)/2 = 1 – (m – 2)/3 m – (m – 1)/2 = 1 – (m – 2)/3 ⇒ m – m/2 – 1/2 = 1 – (m/3 – 2/3) ⇒ m – m/2 + 1/2 = 1 – m/3 + 2/3 ⇒ m – m/2 + m...

4 years ago
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Answer to: Solve the following linear equations. 1. x/2 – 1/5 = x/3 + 1/4 2. n/2 – 3n/4 + 5n/6 = 21 3. x + 7 – 8x/3 = 17/6 – 5x/2

1. x/2 – 1/5 = x/3 + 1/4 x/2 – 1/5 = x/3 + 1/4 ⇒ x/2 – x/3 = 1/4 + 1/5 ⇒ (3x – 2x)/6 = (5 + 4)/20 ⇒ 3x – 2x = 9/20 × 6 ⇒ x = 54/20 ⇒ x = 2...

4 years ago
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Answer to: Aman’s age is three times his son’s age. Ten years ago he was five times his son’s age. Find their present ages.

Let the age of Aman’s son be x then age of Aman will be 3x. According to the question, 5(x – 10) = 3x – 10 ⇒ 5x – 50 = 3x – 10 ⇒ 5x – 3x = -10...

4 years ago
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Answer to: A grandfather is ten times older than his granddaughter. He is also 54 years older than her. Find their present ages.

Let the age of granddaughter be x and grandfather be 10x. Also, he is 54 years older than her. According to the question, 10x = x + 54 ⇒ 10x – x...

4 years ago
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Answer to: Half of a herd of deer are grazing in the field and three fourths of the remaining are playing nearby. The rest 9 are drinking water from the pond. Find the number of deer in the herd.

Let the total number of deer be x. Deer grazing in the field = x/2 Deer playing nearby = x/2 × 3/4 = 3x/8 Deer drinking water = 9 According to...

4 years ago
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Answer to: Hasan buys two kinds of cloth materials for school uniforms, shirt material that costs him ₹50 per metre and trouser material that costs him ₹90 per metre.

Let 2x m of trouser material and 3x m of shirt material be bought by him Selling price of shirt material per meter = Rs 50 + 50 ×(12/100) = Rs 56...

4 years ago
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Answer to: There is a narrow rectangular plot, reserved for a school, in Mahuli village. The length and breadth of the plot are in the ratio 11 : 4.

Let the length of the rectangular plot be 11x and breadth be 4x. Rate of fencing per metre = ₹100 Total cost of fencing = ₹75000 Perimeter of th...

4 years ago
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Answer to: Shobo’s mother’s present age is six times Shobo’s present age. Shobo’s age five years from now will be one third of his mother’s present age. What are their present ages?

Let the present age of Shobo be x then age of her mother will be 6x. Shobo’s age after 5 years = x + 5 According to the question, (x + 5) = (1/3...

4 years ago
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Answer to: Sum of the digits of a two-digit number is 9. When we interchange the digits, it is found that the resulting new number is greater than the original number by 27. What is the two-digit number?

Let the digit at tens place be x then digit at ones place will be (9-x). Original two-digit number = 10x + (9-x) After interchanging the digits, t...

4 years ago
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Answer to: A positive number is 5 times another number. If 21 is added to both the numbers, then one of the new numbers becomes twice the other new number. What are the numbers?

Let one of the positive number be x then other number will be 5x. According to the question, 5x + 21 = 2(x + 21) ⇒ 5x + 21 = 2x + 42 ⇒ 5x – 2...

4 years ago
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Answer to: Amina thinks of a number and subtracts 5/2 from it. She multiplies the result by 8. The result now obtained is 3 times the same number she thought of. What is the number?

Let the number be x, According to the question, (x – ) × 8 = 3x ⇒ 8x – = 3x ⇒ 8x – 3x = ⇒ 5x = 20 ⇒ x = 4 Thus, the number is 4.

4 years ago
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Answer to: Solve the following equations and check your results. 1. 8x + 4 = 3 (x – 1) + 7 2. x = 4/5 (x + 10) 3. 2x/3 + 1 = 7x/15 + 3 4. 2y + 5/3 = 26/3 – y 5. 3m = 5m – 8/5

1. 8x + 4 = 3 (x – 1) + 7 8x + 4 = 3 (x – 1) + 7 ⇒ 8x + 4 = 3x – 3 + 7 ⇒ 8x + 4 = 3x + 4 ⇒ 8x – 3x = 4 – 4 ⇒ 5x = 0 ⇒ x = 0 Putting the ...

4 years ago
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Answer to: Solve the following equations and check your results. 1. 3x = 2x + 18 2. 5t – 3 = 3t – 5 3. 5x + 9 = 5 + 3x 4. 4z + 3 = 6 + 2z 5. 2x – 1 = 14 – x

1. 3x = 2x + 18 3x = 2x + 18 ⇒ 3x – 2x = 18 ⇒ x = 18 Putting the value of x in RHS and LHS we get, 3 × 18 = (2 × 18) +18 ⇒ 54 = 54 ⇒ LH...

4 years ago
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4 years ago
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