Activity › Discussion › Math › Linear Equation in one variable
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Linear Equation in one variable
Posted by Aftab on June 23, 2023 at 5:41 pmRohit is twice as old as his brother. The sum of their ages is 24 years. How old is each of them?
Aftab replied 1 year, 10 months ago 2 Members · 3 Replies -
3 Replies
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Given that $1 is equal to Rs. 80, we can use this information to determine the cost of 3 eggs in rupees when a dozen eggs cost $2.
First, let’s calculate the cost of 1 egg in dollars. Since a dozen eggs cost $2, we divide $2 by 12 to find the cost of 1 egg:
Cost of 1 egg in dollars = $2 / 12 = $1/6
Next, we can convert the cost of 1 egg from dollars to rupees using the given conversion rate of $1 = Rs. 80:
Cost of 1 egg in rupees = Cost of 1 egg in dollars × Conversion rate = $1/6 × Rs. 80 = Rs. (80/6) = Rs. 40/3
Now, to find the cost of 3 eggs in rupees, we multiply the cost of 1 egg in rupees by 3:
Cost of 3 eggs in rupees = 3 × (Rs. 40/3) = Rs. (40/1) = Rs. 40
Therefore, 3 eggs would cost Rs. 40.
In summary, we used the given conversion rate of $1 = Rs. 80 to determine the cost of 1 egg in rupees. We then multiplied the cost of 1 egg by 3 to find the cost of 3 eggs, which turned out to be Rs. 40.
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Let age of Rohit’s brother be x years.
So according to the question , Rohit’s age = twice his brother = 2x years
Sum of their ages = 24 years
=> x + 2x = 24
=> 3x = 24
=> x = 24/3 ( here we transpose the 3 being multiplied on left hand side to divide on right hand side)
=> x = 8 years
=> 2x = 8 x 2 = 16 years
So Rohit’s brother’s age is 8 years and Rohit’s age is 16 years👍
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