Problema Solution
Hi, I have two question I need heip with.
1, The product of two numbers is 12, and their sum is 7. What are the two numbers?
2, A number divided by 4 is the reciprocal of 2 plus another number. The sum of the two unknown numbers is 3. What are the two numbers?
Answer provided by our tutors
1.
let one no is x
so other no is 7-x
x(7-x) = 12
=>x^2 -7x + 12 = 0
=> (x-3)(x-4) = 0
=>x=3
=>x=4
so, the 2 nos. are 3 and 4
2.
let one no. is x
other no = 3-x
x/4 = 1/(2+3-x)
=> x(5-x) = 4
=> x^2-5x+4=0
=>(x-1)(x-4)=0
=> x= 1
=>x=4(not possible)
so the nos. are 1,2