Question

the ages of ram and sham are in the ratio of 5 :7. Four years from now the ratio of their ages will be 3:4. find their present ages

Answer 1

Let Ram's age be 5x and Sham's age be 7x  

According to the question,

(5x+4)/(7x+4) = 3/4

Using cross multiplication

4(5x+4)= 3(7x+4)

20x+16=21x+12

16-12=21x-20x

OR, 21x-20x=16-12

        x=4

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Answer 2

Step-by-step explanation:

Present age of Ram is 20 years

Present age of Sham is 28 years

Step-by-step explanation:

Let,

Present age of Ram = 5x

Present age of Sham = 7x

★ Four years from now,

The age of Ram = 5x + 4

The age of Sham = 7x + 4

Also,

The ratio of their age will be 3 : 4

So,

⇒$\tt{\dfrac{5x \: + \: 4}{7x \: + \: 4} \: = \: \dfrac{3}{4}}$

7x+45x+4 = 43

⇒ 4 (5x + 4) = 3 (7x + 4)

⇒ 20x + 16 = 21x + 12

⇒ 20x - 21x = 12 - 16

⇒ - 1x = - 4

⇒ x = 4

___________________________

★ Value of 5x :

⇒ 5 (4)

⇒ 20

____________________________

★ Value of 7x :

⇒ 7 (4)

⇒ 28

Therefore,

Present age of Ram is 20 years

Present age of Sham is 28 years