2. If Ahmed is older than Salim, and the product

skomminbv

skomminbv

Answered question

2021-12-05

2. If Ahmed is older than Salim, and the product of their ages is 477 and the sum is 62, find the followings:
a.Ahmed and Salim ages by solving quadratic equation by using General Formula.
b.Graph the parabola of quadratic function.

Answer & Explanation

George Blue

George Blue

Beginner2021-12-06Added 18 answers

a. 
Let x and y represent Ahmed's and Salim's ages, respectively.
Given that Ahmed is older than Salim and the product of their ages is 477and the sum is 62. 
This implies that, 
x>y(1) 
xy=477(2) 
x+y=62(3) 
From equation (3), it can be obtained that y=62x
Substitute y=62x in (2) and simplify as follows. 
xy=477 
x(62x)=477 
62xx2=477 
x262x+477=0 
Now solve the quadratic equation x262x+477=0 as follows. 
x262x+477=0 
x253x9x+477=0 
x(x53)9(x53)=0 
(x53)(x9)=0 
x=53,9 
Substitute these values in y=62x and obtain that y=9,53
From equation (1), it is noticed that the value of x should be greater than y. 
Hence, x=53  and y =9
Therefore, Ahmed and Salim are 53 and 9 years old, respectively.
b. 
From part a, it is obtained that the quadratic equation x262x+477=0
Graph quadratic function y=x262x+477 as follows. 

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