Question

The average height of Mona and Riya is 1.74m. Riya is 0.4m taller than Mona. How tall is Riya?​

Answer 1

Ques: The average height of Mona and Riya is 1.74m. Riya is 0.4m taller than Mona. How tall is Riya?

Solution:

Let the height of Mona = X m

Height of Riya = (X + 0.4) m

Average height of Mona and Riya = 1.74 m

i.e.  (X m + (X + 0.4) m)/2 = 1.74 m

 (2X+ 0.4)/2 = 1.74

or (2(X+0.2))/2=1.74

or X + 0.2 = 1.74

X = 1.74 - 0.2 = 1.54

So, height of Mona = 1.54 m

Therefore, Height of Riya = (1.54 + 0.4) m = 1.94 m

Check:

1.74 m  = (1.54 + 1.94)/2 m

= 3.48/2 m

= 1.74 m

LHS=RHS