10. Amina is currently twice as old as her younger brother, Saad. In 4 years, Amina will be 50% older than Saad.
How old will Saad be when Amina is 18?
F. 8
G. 9
H. 10
J. 12
K. 14
How old will saad be when Amina is 18

The age of Saad is required when Amina will be 18.

Saad will be K. 14 years old.

Let be the age of Amina

be the age of Saad

The age of Amina is twice as old as Saad

After 4 years Amina will be 50% older than Saad

So, Saad is 4 years old currently and Amina is years old.

They have a gap of 4 years between them.

When Amina will be 18 since Saad is younger his age will be years.

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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.

fwms@lil_ben06

step-by-step explanation: