Respuesta :

FrozenFantasy

Answer:

  • Now Sabita is 13 years old.

★ GivEn :-

  • Babita is now 7 years older than Sabita.
  • The sum of their ages is 33 years.

★ To Find :-

  • Sabita's age

Step-by-step explanation:

→ Let the age of Sabita be x years.

→ Now, according to the question, Babita is 7 years older than Sabita.

→ Therefore, Babita's age is x + 7 years.

→ According to the given condition,

The sum of their ages is 33 years.

[tex] \sf \: x + (x + 7) = 33[/tex]

[tex] \implies \sf \: x +x + 7 = 33[/tex]

[tex] \implies \sf \: 2x + 7 = 33[/tex]

[tex] \implies \sf \: 2x = 33 - 7[/tex]

[tex] \implies \sf \: 2x = 26[/tex]

[tex] \implies \sf \: x = \dfrac{26}{2}[/tex]

[tex] \implies \boxed{ \red{\sf \: \therefore \: x = 13}}[/tex]

Therefore, the age of Sabita is 13 years!

abidemiokin

The age of Sabita is 13 years

  • Let the age of Sabita be x
  • Let the age of Babita be y

If the sum of their ages is 33 years, then;

x + y = 33 .......................1

If Babita is now  than Sabita7 years older, then;

y = x + 7 ........................2

Substitute equation 2 into 1;

x + y = 33

x + x + 7 = 33

2x = 33  - 7

2x = 26

x = 13

Hence the age of Sabita is 13 years

Learn more on simultaneous equations here: https://brainly.com/question/16863577

Otras preguntas

Q&A Education