ratio of the present ages of A and B is 7 : X . After 6 years, the age of B will be 42 years. The
sum of their ages, four years ago, was 56 years. What is the value of X?
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X= 9
Step-by-step explanation:
Ratio of the present ages of A and B is
7 : X .
Let the common factor of the ratio is k, so present age of A is 7k
and that of B is Xk
After 6 years, the age of B will be 42 years,i.e. Xk+6= 42..eq1
The sum of their ages, four years ago, was 56 years,
7k-4+Xk-4=56
7k+Xk-8= 56
7k+Xk= 64 ...eq2
From eq1: Xk= 42-6=36
put this value to eq2
7k+36= 64
7k= 64-36
7k= 28
k= 28/7
k= 4
Put the value of k in eq1,to find the value of X
Xk=36
X=36/4
X= 9
Hope it helps you.
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