Q2. 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?
Answers
Answered by
9
ANSWER
Let the numbers be x, y
⟹ y = 5x
21 is added
The numbers are
y + 21 , x+21
According to question
y + 21 = 2(x+21)
5x + 21 = 2x + 42
5 x = 2x + 21
3x = 21
x = 7 ⟹ y = 35
Answered by
0
Let the two numbers be x and y, x>y.
According to question,
x = 5y .....(I)
and x + 21 = 2(y + 21)
or, x + 21 = 2y + 42
or, 5y + 21 = 2y + 42 (using equation (I)
or, 5y - 2y = 42 - 21
or, 3y = 21
or, y = 21/3
or, y = 7.
Therefore, x = 5y = 5 × 7 = 35.
Hence, the numbers are 35 and 7.
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