twice the sons age is added to father's age sum is 70 if the age is twice the father's age is added to son's age sum is 95 find age of fathers and son
Answers
y= father's age
given
2x+y=70...............(1) ×2
x+2y=95..............(2)
on substracting equation 1 from equation 2
x=15
put value of y in one of the equation
x=40
The Father age is 40 years
The Son age is 15 years
Explanation:
Given:
1. twice the son age is added to the father age sum is 70
2. twice the father age is added to the son age sum is 95
To find:
The age of father and son
Solution:
==> Son age = x
==> Twice the son age = 2x
==> Father age = y
==> Twice the father age =2y
==> twice the son age is added to the father age sum is 70
==> twice the son age + the father age = 70
==> Write this in equation
==> 2x+y = 70 ==>1
==> twice the father age is added to the son age sum is 95
==> twice the father age + the son age = 95
==> 2y + x = 95
==> x+2y =95 ==>2
==> using Substitution Method
==> Rewrite the 2nd equation
==> x = 95-2y ==>3
==> Substitute equation 3 in 1
==> 2x+ y =70
==> 2(95-2y)+y =70
==> 190 -4y+y = 70
==> 190-3y = 70
==> 3y = 190-70
==> 3y =120
==> y = 40 years
==> Substitute y value in equation 3
==> x =95-2y
==> x = 95-2(40)
==> x = 95-80
==> x = 15 years
The Father age is 40 years
The Son age is 15 years