If Bansi add his present age to 4 times his age5 years ago it's exceeds 3 times his present age by 16 years what is bansi's present age
Answers
Answered by
33
Define x:
Let Bansi be x years old
Express his age 5 years ago in term of x:
Bansi = x - 5
Add his present age to 4x his age 5 years ago
Bansi = 4(x - 5) + x
Bansi = 4x - 20 + x
Bansi = 5x - 20
Solve x:
It will exceed 3 times his present age by 16
(5x - 20) - 3x = 16
5x - 20 - 3x = 16
2x - 20 = 16
2x = 36
x = 18 years old
Answer: Bansi is 18 years old
Answered by
0
18 years
Step-by-step explanation:
Solution,
Let Bansi age be x years
It is said 5 years ago so
Bansi= x-5
If bansi adds his present age to 4 times his s age 5 years ago then,
Bansi= 4(x-5)+x
= 4x-20+x(MULTIPLYING
BOTH SIDES
BY 4
= 4x+x-20
= 5x-20
If it exceeds 3 times his present age by 16 years then, (SOLVING FOR X)
(5x-20) -3x=16
5x-20-3x=16
5x-3x=+20+16
(GROUPING LIKE TERMS AND CHANGE OF SIGN -TO +)
2x=36
(DIVIDING 36 BY 2 AND WE GOT 18)
x=36
2
x=18
HOPE IT HELPS YOU!
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