Math, asked by parth2202, 1 month ago

A positive number is 5 times the other 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​

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Answered by devanshu1234321
56

kindly see the attachment

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Answered by spacelover123
125

Question

A positive number is 5 times the other 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?

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Answer

Let the first number be 'x'

The second number would be '5x'

According to the question, we'll add 21 to both numbers.

x + 21 and 5x + 21 will be the numbers obtained.

As the question says,

⇒ 2 (x + 21) = 5x + 21

Let's solve the equation step-by-step.

2 (x + 21) = 5x + 21

Step 1: Simply the equation.

⇒ 2 (x + 21) = 5x + 21

⇒ 2x + 42 = 5x + 21

Step 3: Subtract 21 from both sides of the equation.

⇒ 2x + 42 - 21 = 5x + 21 - 21

⇒ 2x + 21 = 5x

Step 4: Flip the equation.

⇒ 2x + 21 = 5x

⇒ 5x = 2x + 21

Step 5: Subtract 2x from both sides of the equation.

⇒ 5x - 2x = 2x + 21 - 2x

⇒ 3x = 21

Step 6: Divide 2 from both sides of the equation.

⇒ 3x ÷ 3 = 21 ÷ 3

⇒ x = 7

∴ x = 7 in the formed equation.

∴ Smaller number = x = 7

∴ Greater number = 5x = 5 × 7 = 35

∴ The required numbers are 7 and 35.

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