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प्रश्न
In a bag there are 5 and 2 rupee coins. If they are equal in number and their worth is ₹ 70, then
- The worth of x coins of ₹ 5 each ______.
- The worth of x coins of ₹ 2 each ______.
- The equation formed is ______.
- There are ______ 5 rupee coins and ______ 2 rupee coins.
उत्तर
- The worth of x coins of ₹ 5 each 5x.
- The worth of x coins of ₹ 2 each 2x.
- The equation formed is 2x + 5x = 70.
- There are 10 5 rupee coins and 10 2 rupee coins.
Explanation:
Let the number of coins of ₹ 5 = x
Then, the number of coins of ₹ 2 = x
a. Number of coins of ₹ 5 = x
So, the worth of ₹ 5 of x coins = ₹ 5x
b. Similarly, the worth of 12 of x coins = ₹ 2x
c. As per the condition given in the question, If 5 and 2 rupee coins are equal in number and their worth is ₹ 70.
So, the equation is 5x + 2x = ₹ 70.
d. Consider the equation,
5x + 2x = 70
7x = 70
x = 70/7
x = 10
There are 10 ₹ 5 coins and 10 ₹ 2 coins.
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