Question

2. A positive number is 5 times another number. If 21 is added to both the numbers,
she thought of. What is the number?
then one of the new numbers becomes twice the other new number. What are the
numbers?
Sum of the digits of a two-digit number is own​

Answer 1

Answer:

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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?

Let positive number = 5x

The other number = x

∴

On adding 21 to both number:

We get (5x+21) and (x+21)

According to the condition, we have

2 cross times left parenthesis x plus 21 right parenthesis equals 5 x plus 21

or 2x + 42 = 5x +21

Transposing 42 to RHS, we have

2x = 5x + 21 - 42

Transposing 5x to LHS, we have

2x - 5x = -21

or -3x = -21

Dividing both sides by (-3), we have

fraction numerator negative 3 x over denominator negative 3 end fraction equals fraction numerator negative 21 over denominator negative 3 end fraction

or x = 7

and 5x = 5 cross times 7 =35

Thus, the required numbers are 7 and 35.

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