Question

6. The ages of Tom and Jerry are in the ratio of 2: 5. Three years from now, the ratio of their ages will be 2 : 4. Find their present ages.
(It's from Thinker active 8th book)​

Answer 1

Answer:

Let the age of Hari be 5x and Harry be 7x.

4 years later,

Age of Hari = 5x + 4

Age of Harry = 7x + 4

According to the question,

\frac{5 x+4}{7 x+4}=\frac{3}{4}

⇒ 4(5x + 4) = 3(7x + 4)

⇒ 20x + 16 = 21x + 12

⇒ 21x - 20x = 16 - 12

⇒ x = 4

Hari age = 5x = 5×4 = 20 years

Harry age = 7x = 7×4 = 28 years

Answer 2

Answer:

let the present age of tom and Jerry be x

Step-by-step explanation:

THEN

2x and 5x

AFTER 3 YEARS

2X+3/5X+3 = 2/4

BY CROSS MULTIPLICATION

4(2x+3) = 2(5x+3)

=) 8X+24 = 10x+6

=) 8x-10x = 6-24

=) -2x = -18 [ minus-minus got cancelled ]

=) 2x = 18

=) x = 18/2

=) x = 9

then 2x = 2×9

= 18

5x = 5×9

= 45

HENCE THE PRESENT AGE OF TOM IS 18 YEARS

THE PRESENT AGE OF JERRY IS 45 YEARS