Question

Twice son age is added to father age sum is 70. if twice father age is added to son age sum is 95 find their ages

Answer 1

let the age of sons be x&that of fathers be y.
2x+y=70.................(1)
x+2y=95......................(2)
by adding equation no. (1)&(2)
3x+3y=165
x+y=55...................(3)
subtracting eq no.(2) from (1)
x-y=-25.................(4)
adding eqno. (3)&(4)
2x=30
x=15
substituting x=15 in eqno.(3)
y=40
son's age is 15&father's age is 40

Answer 2

Son age = 15

Father age = 40

To find:

son age = ?

father age = ?

Given data:

Twice son age is added to father age sum = 70

twice father age is added to son age sum = 95

Solution:

let son be S and father be F, then

2 S + F = 70-------1

S + 2F = 95-------2

multiplying equation 1 into 2 we get,

4 S + 2 F = 140------1

S + 2 F = 95---------2

subtracting 1 and 2 we get,

3 S = 45

S = 15

substituting S value in equation 1 we get,

2 S + F = 70-------1

2 X 15 + F = 70

30 + F = 70

F = 70 - 30

F = 40

To solve more:

1. Joe's age, joes sisters age and joe's father's age sums up to a century. when son is as old as his father, joe's sister will be twice as old as now. when joe is as old as his father then his father is twice as old as when his sister was as old as her father

https://brainly.in/question/5227613

2. Father's is three times sons age and the sum of their ages is 100. Find sons age

https://brainly.in/question/5594937