Question

The ratio of the ages of two persons is 4 : 7 and the age of one of them is greater than that of the other by 30 years. the sum of their ages (in years) is

Answer 1

let the no. be X

7X-4X= 3X

3X= 30

X=10

SOOOOOO,

40+70 = 110

hope this will help u

Answer 2

Answer:

The sum of their ages (in years) is 110 years.

Step-by-step explanation:

The ratio of two quantities indicates how often one of these numbers contains the other through a quantitative relationship between their two amounts. Any two numbers can be divided by each other until prime numbers appear on both the numerator and the denominator, or at least on one of them, to obtain the ratio. For instance, if "m" is any quantity and "n" is another quantity, the ratio of m and n is written as "m:n" and is pronouced as "m" is to "n." This ratio provides a comparison of the two quantities' magnitudes.

Given: Ratio of the ages of two persons is $4 : 7.$

So, Ages of the persons $4x$ and $7x$years.

The age of one of them is greater than that of the other by 30 years

$7x - 4x = 30\\ 3x = 30\\ x = 10$

Sum of their ages $= 4x + 7x$

$= 11x years$

$= 11 \times 10 \\= 110 years$

Hence, the sum of their ages (in years) is 110 years.

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