Question

The ratio of age of two people is 4:7and of them is 30years older than the other.the sum of their ages is.

Answer 1

Correct Questions:

• The ratio of ages of two people is 4:7 and one of them is 30 years older than the other. Then the sum of their ages is ?

Answer:

• $\bold\red{110\:Years}$

Step-by-step explanation:

Given,

The ratio of ages of two people is 4:7

Let ,

their ages be '4x ' and '7x' years respectively.

Now,

It is being given that,

One of them is 30 years older than the other.

Clearly,

7x is greater than 4x

Therefore,

we get,

$=> 7x = 4x + 30 \\ \\ = > 7x - 4x = 30 \\ \\ = 3x = 30 \\ \\ = > x = \frac{30}{3} \\ \\ = > x = 10$

Therefore,

their ages are,

4 × 10 = 40 years

and

7 × 10 = 70 years

Thus,

the sum of the ages will be ( 40 + 70 ) years

Hence,

110 years is the required answer.

Answer 2

$\large\underline{\underline{\sf Given:}}$

• The ratio of age of two people is 4:7and of them is 30years older than the other .

$\large\underline{\underline{\sf To\:Find:}}$

• The sum of their ages = ?

$\large\underline{\underline{\sf Solution:}}$

Let ,

Age of A = 4x

and

Age of B = 7x

$\large\underline{\underline{\sf According\:to\: Question:}}$

$\large\implies{\sf 3x=30}$

$\large\implies{\sf x=10\:years}$

•°•

$\large{\sf Age\:of\:A=4x}$

$\large\implies{\sf 4×10}$

$\large\implies{\sf 40\:years }$

And

$\large\implies{\sf Age\:of\:B=7x}$

$\large\implies{\sf 7×10}$

$\large\implies{\sf 70\:years}$

•°• Sum of their ages will be

Sum = Age of A + Age of B

$\large\implies{\sf 40+70 }$

$\large\implies{\sf 110\:years}$

$\Large\underline{\underline{\sf Answer:}}$

•°• Age of A is "40 years" and Age of B is "70 years" . Hence, the sum of their ages are "110 years".