4. The sum of the ages of a woman and her daughter is 46 years. In 4 years', time, the ratio of their ages will be 7:2. Find their
present age.

Present age of woman = 38 years.

Present age of Daughter = 8 years.

Explanation:

Given :

The sum of the ages of a woman and her daughter = 46 years.

In 4 years time,the ratio of their ages = 7:2.

Solution :

Let assume,

Present age of woman = x years

Present age of Daughter = y years

as given,

The sum of the ages of a woman and her daughter = 46 years.

x+y = 46

x =   46 - y(equation 1)

and,

In 4 years time, the ratio of their ages =  7:2.

After 4 years,

Age of woman = (x+4) years

Age of daughter = (y+4) years

→ (x+4) : (y +4) = 7:2

→ x+4/y+4 = 7/2

→ 46-y+4/y+4 = 7/2

→ 50-y/y+4 = 7/2

→7y +28 = 100-2y

→ 7y +2y = 100 -28

→ 9y = 72

→ y = 8

so, y = Present age of Daughter = 8 years.

Put the value of y = 8 in equation (1) .

→ x = 46 - y

→ x = 46 - 8

→ x = 38

Thus, the Present age of woman = x = 38 years.

the only other powers were germany russia and uk and they were too busy fighting each other wearing each other down   that the us was becoming strong and they were becoming weaker

where is the picture? ?