Question

5 years ago, the sum of the ages of Kavita and Reema was 70 years and their ages were in ratio 3:4. Find the ratio of their present ages.

Answer 1

FIVE YEARS BEFORE :
let kavita`s age = 3x
let reema`s age = 4x
3x + 4x = 70
7x = 70
x = 70/7
x = 10
kavita`s age = 3*10=30years
Reema`s age = 4*10 = 40 years

PRESENT AGE:
kavita`s age = 30+5 = 35years
reema`s age = 40+5 = 45 years

Answer 2

$\huge\fcolorbox{black}{pink}{Question}$

5 years ago, the sum of the ages of Kavita and Reema was 70 years and their ages were in ratio 3:4. Find the ratio of their present ages.

$\huge\fcolorbox{black}{pink}{Answer}$

$\underline{\underline\orange{To Find:}}$

The ratio of their present ages.

$\underline{\underline\orange{Given:}}$

5 years ago :

$\orange\rightarrow$ Sum of ages of Kavita and Reema = 70

$\orange\rightarrow$ Ratio = 3:4

$\underline{\underline\orange{Solution:}}$

Let, The age of Kavitha be 3x

The age of Reema be 4x

$\orange\Rightarrow$ 3x + 4x = 70

$\orange\Rightarrow$ 7x = 70

$\orange\Rightarrow$ x = $\frac{70}{7}$

$\orange\Rightarrow$ x = 10

$\green{Five\: years\:ago}:$

The age of Kavitha = 3x = 3×10 = 30

The age of Reema = 4x = 4×10 = 40

$\green{Present}:$

Age of Kavitha = 30+5 = 35

Age of Reema = 40+5 = 45

$\therefore$The ratio of their present ages = 35:45 = 7:9

$\sf\blue{hope\:it\:helps}$