Question

One number is 3 more than another and the sum of their square is 269.Find the number

Answer 1

Answer:

-13 and -10 or 10 and 13

Step-by-step explanation:

let x and x+3 be the two nos.

And solving it the reqd. ans is found.

hope this helps you.

Answer 2

Answer:

Concept:

A number system (or system of numeration) is a system of writing for expressing numbers; It is a mathematical language for counting up a given set using digits or even other symbols in a consistent manner. In different numeral systems, the same series of symbols might represent different numbers. The number eleven in the decimal numeral system (as used in everyday life), the number three in the binary representation (as used in computers), and the numeral two in the unary numeral system are all represented by "11." The value of a numeral is the number it represents. Not all numerical techniques can represent all of the numbers that are used today; for example, Roman numerals do not have a zero.

Given:

One number is 3 higher than the other, and their square total is 269.

Find:

Find the number

Step-by-step explanation:

'$x$' is one number

$x+3$ is the another number

$x^{2} +x^{2} +6x+9$

$i.e, (x+3)(x+3)=269$

$2x^{2} +6x-260=0\\x^{2} +3x-130=0, on .dividing.by 2\\(x+13)(x-10)$

one number is $10$, the another number is $13$

squared number $10=100$

square number $13=169$

sum is $269$

∴ The sum of a number is $269$

∴ The sum of square is $13$

∴ The sum of squared number is $10$

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