The sum of the ages of two Brothers is 43 years old and one of them is 15 years older than the other

Age of younger brother is 14 years..

And age if elder brother is 29 years.

Step-by-step explanation:

Let us denote 'x' as the age of smaller brother,

then, the age of younger brother will be x+15 years.

Equation formed:-

x+x+15 =43

2x+15 = 43

2x = 43-15

2x = 28

X = 28/2

X = 14

Age of younger brother is 14 years.

Age of elder brother = x + 15

Age of elder brother 14 + 15 = 29 years.

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1