Question

The ages of two friends is in the ratio 5:6. After how many years will the ages be in the ratio 7:8?
O 2 Yrs
O 3 Yrs
O 1 Year
O 5 Yrs​

Answer 1

Answer:

2 years.

Step-by-step explanation:

because when be

5x+2/6x+2=7x/8x

Answer 2

Answer :

• 2 years will the ages be in the ratio 7 : 8

Given :

• The ages of two friends is in the ratio 5 : 6

To find :

• How many years will the ages be in the ratio 7 : 8

Solution :

• Let the two friends be 5x and 6x

Given, their ages are in the ratio 7 : 8 so,

According to question :

➟ 5 + x / 6 + x = 7/8

Cross multiplying we get,

➟ 8(5 + x) + 7(6 + x)

➟ 40 + 8x = 42 + 7x

➟ 8x - 7x = 42 - 40

➟ x = 2

Hence, 2years will the ages be in the ratio 7 : 8

Verification :

➟ 5 + x / 6 + x = 7/8

➟ 5 + 2 / 6 + 2 = 7/8

➟ 7/8 = 7/8

Hence , Verified