Question

Age of Ramya and age of Sofi added together gives 28 three fourth of Ramya age added to one fourth of sofis age gives 11 find the age of Ramya and the age of sofi

Answer 1

Given :-

• Sum of ages of Ramya and Sofi is 28.

• Sum of three fourth of Ramya's age and one fourth of Sofi's age is 11.

To Find :-

• Age of Ramya.

• Age of Sofi.

Solution :-

Let :-

Age of Ramya = x

Age of Sofi = y

According to the first condition :-

$\longrightarrow\sf x+y = 28 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ .................(1)$

According to the second condition :-

$\longrightarrow \sf \dfrac{3}{4}x +\dfrac{1}{4}y = 11 \\\\\longrightarrow \dfrac{3x+y}{4} = 11 \\\\\longrightarrow 3x+y = 4 \times 11 \\\\\longrightarrow 3x+y = 44 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ .................(2)$

Equation (2) - Equation (1) :-

$\longrightarrow \sf 2x = 16 \\\\\longrightarrow \bf x = 8$

Substitute the value of x in eq (1) :-

$\longrightarrow \sf 8+y = 28 \\\\\longrightarrow \bf y = 20$

Age of Ramya = 8 years

Age of Sofi = 20 years