Question

the age of Amanda n saumya are in ratio 5:7. Four years later, their ages will be in the ratio 3:4. find their present ages​

Answer 1

Answer:

present age of Amanda and saumya is 20 and 28 respectively

Step-by-step explanation:

let age of Amanda and saumya be 5x and 7x respectively,after four years later their

age= 5x+4 and 7x+4

now (5x+4)×4=20x+16

(7x+4)×3=21x+12

now 21x-20x=16-12

x=4

5×4=20,7×4=28

Answer 2

✬ Amanda's age = 20 years ✬

✬ Saumya's age = 28 years ✬

Step-by-step explanation:

Given:

• The ages of Amanda and Saumya are in ratio 5 : 7.
• Four years later their ages will be in ratio 3 : 4.

To Find:

• What is their present ages ?

Solution: Let x be the common in given ratios. Therefore,

• Amanda's age = 5x years
• Saumya's age = 7x years

Four years later their ages will be :-

• Amanda's age = (5x + 4) years
• Saumya's age = (7x + 4) years

According to the question, the ratio of their ages after 4 years is 3 : 4. Therefore,

➟ (5x + 4)/(7x + 4) = 3/4 [ Do cross multiplication ]

$\implies{\rm }$ 4( 5x + 4 ) = 3( 7x + 4 )

$\implies{\rm }$ 20x + 16 = 21x + 12

$\implies{\rm }$ 20x – 21x = 12 – 16

$\implies{\rm }$ –x = – 4

$\implies{\rm }$ x = 4

So, Their present ages are

➯ Amanda's age = 5x = 5(4) = 20 Years.

➯ Saumya's age = 7x = 7(4) = 28 Years.

__________________

★ Verification ★

➬ (5x + 4)/(7x + 4) = 3/4

➬ (20 + 4)/(28 + 4) = 3/4

➬ 24/32 = 3/4

➬ 6/8 = 3/4

➬ 3/4 = 3/4

[ Verified ]