in 3 years steven will be twice as old as john.the sum of their ages at the moment is 45 years. how old are steven and john today?
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in 3 years steven will be twice as old as john.the sum of their ages at the moment is 45 years.
in 3 years steven will be twice as old as john.the sum of their ages at the moment is 45 years. how old are steven and john today?
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Step-by-step explanation:
Let the present ages of Steven and John be x and y years respectively.
From first condition.
x+3=2(y+3)
x+3=2y+6
x-2y=3...(1)
Ftom second condition.
x+y=45...(2)
Multiply eq(2) by 2.
2x+2y=90...(3)
Add eq(1) and eq(3)
3x=93
x=93/3
x=31.
substitute x=31 in eq(2)
31+y=45
y=45-31
y=14.
Present ages of Steven and John are 31 and 14 years respectively.
Answer:age of john=12
Age of Steven 27
Step-by-step explanation:let the age of John =x
After 3 years =x+3
Age of Steven =2(x+3)
=2x+6
Sum of age =45
x+3+2x+6=45
3x+9=45
3x=45-9
3x=36
x=36/3
x=12
After 3 years 12+3=15years
Steven is twice =15×2=30years
Age of Steven after three years= 30
Three years ago age of Steven
= 30- 3= 27