the ages of a and b are in the ratio of 5:2 respectively. after 7 years the ratio of their ages will be 4:3 what is the age of A
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let age of a be x and age of b be y
1st case. x/y=5/2
2x=5y
2x-5y =0 ......(1)
2nd case. (x+7)/(y+7)=4/3
3x+21 =4y+28
3x-4y= 28-21
3x-4y=7 ......(2)
multiplying eq. (1) by 3 and eq. (2) by 2
3(2x-5y=0)
》6x-15y=0 ...(3)
2(3x-4y=7)
》6x-8y=14 ...(4)
eliminating eq. (4) from eq.(3)
6x-15y=0
6x-8y=14
- + -
-7y=-14
y=14/7
y=2
2x=5y
2x=5(2)
x=5
age of x(a)=5 years
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