Question

Dihan is 7 years older than his brother. If the product of their age is 120. Find their ages.​

Answer 1

Step-by-step explanation:

Given :-

Dihan is 7 years older than his brother. If the product of their age is 120.

To find :-

Find their ages. ?

Solution:-

Let the present age of Dihan's brother be X years

Then the present age of Dihan =

7 years older than his brother

= (X+7) years

Their product = (X)(X+7)

=> X^2+7X years

According to the given problem

The product of their ages = 120

=> X^2+7X = 120

=> X^2+7X-120 = 0

=> X^2+15X-8X -120 = 0

=> X(X+15)-8(X+15) = 0

=> (X+15)(X-8) = 0

=> X+15 = 0 or X-8 =0

=> X = -15 or X = 8

X can not be negative , because it is the age.

= X = 8 years

Dihan's brother'a age = 8 years

Dihan's age = 8+7 = 15 years

Answer:-

The present age of Dihan = 15 years

The present age of Dihan' s brother's age = 8 years

Check:-

Their ages 8 years and 15 years

Dihan' is 7 years oldee than his brother

15-8 = 7 years

The product of their ages = 15×8 = 120

Verified the given relations in the given problem.

Answer 2

Answer:

here you go

Step-by-step explanation:

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