Answer:
When Amina is 18. Saad would be;
k. 14
Step-by-step explanation:
Let "x" represent Anita's current age and let "y" represent Saad's current age, we have;
Anita's age = 2 × Saad's age
Therefore;
x = 2 × y...(1)
In 4 years, we will get;
x + 4 = 1.5 × (y + 4)...(2)
Substituting the value of x in equation (1) into equation (2), we get;
2·y + 4 = 1.5·y + 1.5 × 4 = 1.5·y + 6
2·y + 4 = 1.5·y + 6
2·y - 1.5·y = 6 - 4 = 2
0.5·y = 2
y = 2/0.5 = 4
Saad's current age = y = 4 years
From equation (1), we have;
x = 2 × y = 2 × 4 = 8
Amina's current age = x = 8 years
When Amina is 18, we have;
18 = 10 + 8 = 10 + x
Therefore, Amina would be 18 in 10 years time from now, from which we have;
Saad would be 10 years + y = 10 years + 4 years = 14 years in 10 years from now
Therefore, when Amina would be 18 years in 10 years from now Saad would be 14 years.
The age of Saad is required when Amina will be 18.
Saad will be K. 14 years old.
Let [tex]a[/tex] be the age of Amina
[tex]s[/tex] be the age of Saad
The age of Amina is twice as old as Saad
[tex]a=2s[/tex]
After 4 years Amina will be 50% older than Saad
[tex]a+4=(1+0.5)(s+4)\\\Rightarrow 2s+4=1.5(s+4)\\\Rightarrow 2s+4=1.5s+6\\\Rightarrow s=\dfrac{6-4}{2-1.5}\\\Rightarrow s=4[/tex]
So, Saad is 4 years old currently and Amina is [tex]2\times 4=8[/tex] years old.
They have a gap of 4 years between them.
When Amina will be 18 since Saad is younger his age will be [tex]18-4=14[/tex] years.
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