Question

Find a number such that if 25 seven and one are added to the product of the first and third result is equal to the square of the second

Answer 1

Answer:

13

Step-by-step explanation:

he numbers are

12

and

13

Explanation:

Let te numbers be

x

and

y

therefore we have

x

+

y

=

25

............(1)

which gives us

x

2

+

y

2

+

2

x

y

=

625

............(2)

and we also have

x

2

+

y

2

=

313

............(3)

Subtracting (3) from (2), we get

2

x

y

=

312

............(4)

and (4) from (3) we get

x

2

+

y

2

−

2

x

y

=

1

............(5)

i.e.

x

−

y

=

1

............(6)

Slolving for

x

and

y

from (1) and (6), we get

x

=

13

and

y

=

12

Note:we can also have

x

−

y

=

−

1

, which gives

x

=

12

and

y

=

13