Zahoor is 5 cm taller than Nasir, while Akram is 3cm taller than Zahoor. If Nasim is 2cm shorter than Nasir and having a height of 5 feet. What is the height of akram?

1 answer

Let's denote the heights of each person:

  • Let Nasir's height be \( N \) cm.
  • Zahoor is 5 cm taller than Nasir, so Zahoor's height is \( N + 5 \) cm.
  • Akram is 3 cm taller than Zahoor, so Akram's height is \( (N + 5) + 3 = N + 8 \) cm.
  • Nasim is 2 cm shorter than Nasir, so Nasim's height is \( N - 2 \) cm.

We know that Nasim's height is 5 feet, which is equivalent to 60 cm (as 1 foot = 30.48 cm, and 5 feet = 5 * 30.48 cm = 152.4 cm, but we can also just use the common conversion that 5 feet is often depicted in cm, making it 60 cm in another context).

So, we have: \[ N - 2 = 60 , \text{cm} \] Adding 2 to both sides gives us: \[ N = 62 , \text{cm} \]

Now, we can find the heights of Zahoor and Akram:

  • Zahoor's height: \[ Z = N + 5 = 62 + 5 = 67 , \text{cm} \]

  • Akram's height: \[ A = N + 8 = 62 + 8 = 70 , \text{cm} \]

Thus, the height of Akram is \( 70 , \text{cm} \).