A 706 cubic units
B 1,414 cubic units
C 7,630 cubic units
D 21,195 cubic units
place each pair of angles in the correct column.
If the sum of two numbers is 45 and their product is 500 the numbers are 25 and 20 respectively.
A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Let, The two numbers are a and b.
Given, a + b = 45...(1) and ab = 500...(2)
(a + b)² = a² + 2ab + b².
2025 = a² + b² + 1000.
a² + b² = 1025.
Now,
(a - b)² = a² + b² - 2ab.
(a - b)² = 1025 - 1000.
(a - b)² = 25.
(a - b) = 5....(3)
Now, Adding eqn(1) and eqn(2) we get,
2a = 50.
a = 25 and hence b = 20.
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