Question

Swapna is 26 years older than her daughter Suma. 6 years later, Swapna will be thrice as old as Suma. Find their present ages.​

Answer 1

Ages of swapna and suma are 33 and 7 years old respectively

• Let the present age of Swapna be x
• Let the age of Suma be y

If Swapna is 26 years older than her daughter Suma, then;

x = y + 26 ............... 1

6 years later:

Age of Swapna  = x + 6

Age of Suna = y + 6

If Swapna will be thrice as old as Suma, then;

x + 6  = 3(y + 6) ................. 2

Substitute equation 1 into 2:

y + 26 + 6 = 3y + 18

y + 32 = 3y + 18

-2y = -14

y = 7

Since x = y + 26

x = 26 + 7

x = 33

Hence ages of swapna and suma are 33 and 7 years old respectively

Learn more on equation here: brainly.com/question/2972832