The difference between the ages of Radha and Raina is 6 years and the sum of their ages is 26. Find Radha‘s age, if she is older than Raina.

Correct option is C

Given:

The difference between Radha's and Raina's ages is 6 years.

The sum of their ages is 26 years.

Radha is older than Raina.

Solution:

Let Radha's age be R and Raina's age be r 

R - r = 6 (Equation 1)

R + r = 26 (Equation 2)

​Add Equation 1 and Equation 2:

(R - r) + (R + r) = 6 + 26

2R = 32

R = $$\frac{32}{2}$$​​

R=16
Radha's age is16 years.​

​Subtract Equation 1 from Equation 2:

(R + r) - (R - r) = 26 - 6

2r = 20

r = $$\frac{20}{2}$$​​

r=10

Verification of the solution:

Radha's age (R) = 16 years

Raina's age (r) 10 years.

Difference = 16−10=6 years (Correct).16−10=616 - 10 = 6

Sum = 16+10=26 years (Correct).

Radha's age is 16 years.​

16+10=2616 + 10 = 26