Question

A boy was asked of his age by his friend.The boy said,'the number you get when you subtract 25 times my age from twice the square of my age will be thrice your age.' if the friends age is 14, then the age of boy is

Answer 1

Answer:

14 years

Step-by-step explanation:

Let the boy's age be 'X'

ATQ,

twice the square of boy's age = 2X²

25 times boy's age = 25X

Thrice friend's age = 3*14 = 42

2X² - 25 X = 42

2X² - 25X - 42 = 0

Sum = -25

Product = -84

The numbers are -28,3

2X² - 28X + 3X - 42 = 0

2X(X-14) +3(X-14) = 0

[2X + 3] [X - 14] = 0

X = 14

Age of the boy = 14 years

Answer 2

Answer:

Correct....... ........