Question

87 is divided into two parts three times the first part and 5 times the second part in ratio 4:3

Answer 1

Let the parts be x and 87-x respectively.
As given in the question,
3x/5(87-x) = 4/3.
Cross multiplying,
3x*3=5(87-x)*4.
9x= (435-5x)*4.
9x = 1740-20x.
9x+20x=1740.
Therefore x = 1740/29.
x= 60.
So the first number is 60.
And the second number is 87-x = 87- 60= 27
Hope it helps.

Answer 2

Let the first part be x
then second part will be 87 - x

• 3 times the first part : 5 times the second part = 4 : 3




$\frac{3x}{5(87 - x)} = \frac{4}{3}$


9x = 20 ( 87 - x )

9x = 1740 - 20x

29x =1740

x = 60


first part is 60
Second part is 27