Question

Give 5 examples where expressions can be converted to equations. (example like age, relation etc) ​

Answer 1

Answer:

The sum of digits of two-digit number is 7. When the digits are reversed, the number is increased by 27. Find the numbers.

Now what?

Let’s read the question several times and note down all the key points and translate them into mathematical equations. I know it’s an easy one but still you should read it at least twice.

Here, the unknown no. is a two-digit no. whose sum is 7. So, we use x for tens place and y for units place and as given

x + y = 7

Also, it’s been provided in the question that when we swap the digits of original the no. is increased by 27 i.e. if x is on tens place and y on units place then the original no. would be

10x + 1y

And if we swap the digits then y will be now at tens place and x at units but the new no. is bigger from the original by 27. This means,

10x + 1y = 10y + 1x – 27

We are left we 2 equations and 2 unknown we can solve it using elimination method. Rearranging and simplifying the second equation in the form “y – x = 3” and solving both the equations we get,

x = 2 and y = 5

Now let’s check once are we getting the right answer if x = 2 and y = 5 then the original no. would be 25 and if reversed the new no. would be 52 and yes, their difference is 27. So, our answer is correct.

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Answer 2

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Step-by-step explanation:

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