Question

a positive number is 5 times another number if 21 is added to both the numbers then one of the new number thrice is another name number what are the numbers​

Answer 1

Answer:

21 and 105 are the numbers required.

Step-by-step explanation:

Let the required number to be x and y. Then

According to the question we have

$x = 5y...........(1) \\ also \\ (x + 21) = 3(y + 21) = 3y + 63 \\ x - 3y = 42.........(2) \\ substituting \: value \: of \:(1) in \: (2) \\ \\ 5y - 3y = 42 \\ 2y = 42 \\ \\ y = \frac{42}{2} = 21 \\ \\ then \: x = 5y = 5 \times 21 = 105$

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