The sum of two numbers is 25 and their products is 156. What are the two numbers?

2
by alyx14

2015-09-06T15:08:26+08:00

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
13 and 12
because if you will going to add them the sum or answer is 25
if you will going to multiply them the product or answer is 156...
• Brainly User
2015-09-06T15:12:11+08:00

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
X + y = 25
y = 25-x

Let first number x
second number y  or  25-x

Equation:
(x) (25-x) = 156
25x - x² = 156

Equate to 0:
0= x² -24x + 156

Solve by factoring:
((x-13) (x-12) = 0

x-13 = 0             x-12 = 0
x = 13                x = 12

The two numbers are 13 and 12.

To check:
13 + 12 = 25
(13) (12) =156