Question

The ages of Asha and Rohan are in the ratio 5:6.Five years from now their ages will be 6:7.Find their present ages.

Answer 1

Answer:

25 and 30 years old.

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Step-by-step explanation:

to find the answer, we use the given equation.

(5x + 5)/(6x + 5) = 6/7

now, we cross multiply and this makes

7(5x + 5) = 6(6x + 5)

now, we simplify it.

35x + 35 = 36x + 30

now, we transpose the variable quantities to the left and the numerical quantities to the right.

this makes it:

35x - 36x = 30 - 35.

now, we simplify it further.

-1x = -5.

we multiply both sides by -1 (remove the minus sign from both sides)

this makes it:

x = 5.

but, we are not done yet. we only found what the numbers in the ratio are multiplied by, we still need to multiply the numbers with x.

this makes it:

5x:6x = 25 and 30.

Answer 2

$\huge\bf{Answer :- }$

Given :-

• Ratio of the present ages of Asha and Rohan are 5 : 6

• Ratio of Asha and Rohan after 5 years from now are 6 : 7

To Find :-

• Present ages of Asha and Rohan

Solution :-

➤ Let the ages of Asha and Rohan be x

➤ Ratio of Present ages of Asha and Rohan are 5 : 6 so, Let their ages are 5x and 6x

➤ So, Five years from now their ages be 5x+5 and 6x+5 And their ratio is 6 : 7

⇒ i.e. 5x+5/6x+5 = 6/7

By doing cross multiplication we get,

⇒ 7(5x+5) = 6(6x+5)

⇒ 35x + 35 = 36x + 30

⇒ 35x - 36x = 30 - 35

⇒ -1x = -5

By Dividing -1 both sides we get,

⇒ -1x/-1 = -5/-1

➠ x = 5

Hence, Their required ages are,

✯Asha's present age = 5x = 5 × 5 = 25years

✯Rohan's present age =6x = 6 × 5 = 30years