Question

The ages of Seema and Rani are in the ratio of 4:5. Five years from now their ages will be in the ratio of 5:6. Find their present age. *
2

Answer 1

Given :

• The ages of Seema and Rani are in the ratio of 4:5.

• Five years from now their ages will be in the ratio of 5:6.

To find :

• Their present ages =?

Step-by-step explanation :

Let, the present age of Seema be 4x.

Then, the present age of Rani be 5x.

Five years from now Seema's age will be, 4x + 5

Five years from now Rani's age will be, 5x + 5

According to the question :

➮ 4x + 5/5x + 5 = 5/6

➮ 6(4x + 5) = 5(5x + 5)

➮ 24x + 30 = 25x + 25

➮ 24x - 25x = 25 - 30

➮ -1x = -5

➮ x = 5.

Therefore, We got the value of, x = 5.

Hence,

The present age of Seema's, 4x = 4 × 5 = 20 years

The present age of Rani's, 5x = 5 × 5 = 25 years

Answer 2

$\large\bf{\underline{Question:-}}$

The ages of Seema and Rani are in the ratio of 4:5. Five years from now their ages will be in the ratio of 5:6. Find their present age.

$\large\bf{\underline{Given:-}}$

• Age of seema and rani = 4:5
• 5 years from now their age will be 5:6

$\large\bf{\underline{To\:find:-}}$

• Present age of seema and rani=?

$\large\bf{\underline{Solution:-}}$

$\tt→ Let\: age\: of \:seema = 4x\\\tt→ Age of Rani = 5x$

$\tt→ From \:5 years\: Seema's \:age \:will\: be = 4x+5\\\tt→ And\\\tt→ Rani's \:age \:will\:be = 5x+5$

$\large\bf{\underline{According\:to\: Question:-}}$

$\tt→ (\frac{4x+5}{5x+5})=\frac{5}{6}\\\tt→ 6(4x+5)=5(5x+5)\\\tt→ 24x+30=25x+25\\\tt→ 24x-25x=25-30\\\tt→ -x=-5 (-\:,-\:cancel\:out)\\\tt→ x=5$

Hence,

Present age of Seema = 4x=4×5=20 years

And,

Present age of Rani = 5x = 5×5=25 years