A positive number is 5 time another number. If 21 is added to both the numbers, then one of the new numbers become twice of other new numbers. Find the original numbers. *
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Answer:
21+5=26
26 x 100 = 2600
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let the positive number be x
so, the other number will be = 5x
21 is added tho both the numbers:-
x+21
5x+21
when 21 is added to both the number then, one number is twice of the other, which simply means that
2(x+21) = 5x+21
⇒ 2x + 42 = 5x + 21
⇒ 42 - 21 = 5x - 2x
⇒ 21 = 3x
⇒ 21/3 = 3x/3 ( Dividing both sides with 3)
⇒ 7 = x
the first number is x=7
and the second number is 5x=35
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