Question

The sum of the age of father and his sister son is 42 years. The product of their ages is 185 .Find their ages

Answer 1

Step-by-step explanation:

Let father's age be x & sister's son be y

Given that there age when added=

42

That implies, x+y=42

Also product of their ages is 185,

=>xy=185

This types of questions can only be solved by hit and trial.

We can see by divisibility rules that 185 is only divisible by 5.

So let sister's son age be 5

=>5x=185

=>x=37

Now as we got the values of x and y from this equation, let us check whether it will satisfy another set of equation

x+y=42

37+5=42

Thus, We can conclude that father would be 37 and as sister son's would be small, his age would be 5.

Father's age 37

Sister's Son age 5.

Hope it helps

Mark brainliest pls

Answer 2

Father age → 37 years

Son Age → 5 years

• F + S = 42
• F * S = 185
• (42-S) * S = 185
• 42S - S² = 185
• S² - 42S + 185 = 0
• S² - 37S - 5S + 185 = 0
• (S - 37) (S - 5) = 0
• S = 37 or 5