Find the two numbers whose sum is hundred and product is 1771.
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Answer:
23 and 77
Step-by-step explanation:
Let the numbers be a and b.
Sum = a + b = 100________(1)
Product = a×b = 1771
= a = 1771/b
Putting value of a in equation 1
a + b = 100
1771/b + b = 100
(1771 + b²) / b = 100
1771 + b² = 100b
b² - 100b + 1771 =0
b² - 77b - 23b + 1771 = 0
b (b-77) - 23 (b-77) = 0
(b-23) (b-77) =0
b = 23, 77
Putting value of b in eq. 1
a + b = 100
a + 23 = 100 , a + 77 = 100
a = 77, a = 23
Two numbers are 23 and 77.
Hope it helps.
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