Burhanoddin Shaikh (TutorId:1701140)-Home Tutor from Khori Galli, Latur

About Me

I am ready to give a 3-day free demo. If you like my teaching method, then only hire me. Given below is an example of my teaching style. Question: The sum of three numbers is 600. If the second number is twice the first and the third number is twice the second, find the numbers. Answer: a = 600/7. b = 1200/7. c = 2400/7. Step-by-step explanation: Let the 3 numbers be a, b, and c. Therefore, a + b + c = 600. It is true because it says in the question that the sum of 3 numbers is 600. Here, 'a' is the 1st number, 'b' is the 2nd number, and 'c' is the 3rd number. Therefore, b = 2a. It is true because it says in the question that the 2nd number is twice the 1st number. Twice means double. Here, 'b' is the 2nd number and 'a' is the 1st number. Also, c = 2b. It is true because it says in the question that the 3rd number is twice the 2nd number. Here, 'c' is the 3rd number and 'b' is the 2nd number. Let's put b = 2a in a + b + c = 600. Therefore, a + 2a + c = 600. Now let's put c = 2b in a + 2a + c = 600. Therefore, a + 2a + 2b = 600. Because b = 2a and c = 2b. We can put b = 2a in c = 2b. Therefore, c = 2b = 2 x 2a = 4a. ----(Because b = 2a) Therefore, c = 4a. Let's put c = 2b = 4a in a + 2a + 2b = 600. Therefore, a + 2a + 4a = 600. In a + 2a + 4a = 600, 'a' is the variable. a + 2a + 4a is the same as 1a + 2a + 4a = 600. Because 'a' is the same variable for numbers 1, 2, and 4, we can add 1, 2, and 4. Therefore, a + 2a + 4a = 600. Therefore, 3a + 4a = 600. Therefore, 7a = 600. To find the value of a, we need to divide both sides of 7a = 600 by the number 7. Therefore, 7a/7 = 600/7. Therefore, a = 600/7. But b = 2a. Therefore, b = 2a = 2 x 600/7. Therefore, b = 1200/7. It is true because a = 600/7, and b = 2a. But c = 4a. Therefore, c = 4a = 4 x 600/7. Therefore, c = 2400/7. It is true because a = 600/7 and c = 4a. Therefore, a = 600/7, b = 1200/7, and c = 2400/7. Let's check if our final answer is correct. a + b + c = 600. Putting a = 600/7, b = 1200/7, and c = 2400/7 in a + b + c = 600. Therefore, 600/7 + 1200/7 + 2400/7 = 600. Therefore, (600 + 1200 + 2400)/7 = 600. Therefore, (1800 + 2400) / 7 = 600. Therefore, 4200/7 = 600. Therefore, 600 = 600. Hence, our final answer is correct.

Categories

Class 6 to 10

Courses

Class 6th to Class 10th, CBSE Board, ICSE Board, and Maharashtra State Board

Subjects

Math, Science, and Computer.

Hourly Price

Rs 500

Tutoring Mode

At Student's Home : Yes

At Tutor's Home : Yes

At Institute : Yes

Online Tuition : No