Question

The ages of Leena and heena are in the ratio of 7:5. ten years hence, the ratio of their ages will be 9:7. find the present ages.​

Answer 1

Answer:

LEENA'S AGE IS 35 AND HEENA'S AGE IS 25

Step-by-step explanation:

Ratio = 7 : 5

Let their ages be 7m and 5m respectively

7m + 10 : 5m + 10  :: 9: 7    

7(7m+ 10) =  9(5m + 10)          [Product of means = Product of extremes]

49m + 70 = 45m + 90

49m - 45 m = 90 - 70

4m = 20

m = 20/4 = 5

LEENA AGE = 5 X 7 = 35

HEENA AGE = 5 X 5 = 25

PLS MARKS AS BRAINLIEST

Answer 2

Given :

• The ages of Leena and heena are in the ratio of 7:5.

• Ten years hence, the ratio of their ages will be 9:7

To Find :

• Thier present ages.

Solution :

Assume that the present ages of Leena and heena are 7x and 5x respectively.

As per the condition given in question after 10 year

• ➡ Leena's age = ( 7x + 10 )
• ➡ Heena's age = ( 5x + 10 )

We also know that after Ten years the ratio of their ages will be 9:7.

How to solve ?

We have First find out the value of x and after finding value of x we have to value of x in

7x to find Leena's age and in 5x to find Heena's age

So ,

$\sf \implies{ \frac{7x + 10}{5x + 10} = \frac{9}{7} }$

• By cross multiplication ❌

$\sf \implies{7x + 10 \times 7 = 5x + 10 \times 9}$

$\sf \implies{49x + 70 = 45x + 90}$

$\sf \implies{49x - 45x = 90 - 70}$

$\sf \implies{4x = 20}$

$\bf \implies{x = \frac{20}{4} }$

$\bf \implies{x = 5}$

• Here we get the value of x so place this value in 7 x and 5 x

Therefore ,

➡Leena's Present age

= 7 x = 7 × (5)

• 35 years

➡Heena's Present age

= 5x = 5 × (5)

• 25 years