Question

the ratio of Reema age to sudha's age is 1:5 . ten years later the ratio of their age will be 3:7 . find their present age​

Answer 1

Please mark me as a brainliest.

Thanks.

Answer:

Reema's Present age is 5 years

Sudha's Present age is 25 years

Explanation:

The ratio of Reema and Sudha's age is 1:5

Let x be the common multiple

Hence, Reema's Present age-1x

Sudha's Present age-5x

After ten years their ages will be

(1x+10) and (5x+10)

and the ratio of their ages will be 3:7

•(x+10) : ( 5x+10) = 3:7

$\frac{1x + 10}{5x + 10} = \frac{3}{7}$

Cross multiply

(x+10)7 =(5x+10)3

7x + 70=15x +30

15x-7x = 70x - 30x

8x = 40

x=40÷ 8

• x =5

•Reema's present age is 1x=5 years Sudha's Present age is 5x=5×5=25 years

Answer 2

Answer:

Step-by-step explanation:

The ratio of Reema and Sudha's age is 1:5

Let x be the common multiple

Hence, Reema's Present age-1x

Sudha's Present age-5x

After ten years their ages will be

(1x+10) and (5x+10)

and the ratio of their ages will be 3:7

•(x+10) : ( 5x+10) = 3:7

Cross multiply

(x+10)7 =(5x+10)3

7x + 70=15x +30

15x-7x = 70x - 30x

8x = 40

x=40÷ 8

• x =5

•Reema's present age is 1x=5 years Sudha's Present age is 5x=5×5=25 years