The difference of the age of two brothers is 6 years. If after two years the product of their ages will be 280, find their present ages.

Question

Can you please send me the answer of this question which is from simultaneous linear equation.

Answer 1

By recognizing the equation type, you're already halfway there. Now you just need to figure out the terms. This is a straight translation from word problems skill that I'm sure you possess. 

 

For the first equation, lets look at the first sentence. The difference of the age... is 6 years. Difference is always subtraction, and IS always means =, so for that one, we'll call one brother X and the other Y and set up the equation.

 

X - Y = 6; this shows the difference is 6.

 

For the second, we're looking at the product, which hints at multiplication. So now we need to multiply

X * Y = 280.

 

So the two equations are:

X - Y = 6

X * Y = 280

 

Now just solve for one variable using the first equation, substitute it into the second, and solve!