Question

The difference in age between Suresh and his father is 30. The product of their age is 400. How old is Suresh?

Answer 1

Answer:

Suresh age is 10

his father's age is 40

difference is 40-10=30

product of their age =40*10=400

Answer 2

Answer:

Suresh is 10 and his father is 40

Step-by-step explanation:

Take Suresh's age to be x and his father's age as y.

ATQ,

x - y = 30(eq1) and xy = 400

(x-y)^2 = x^2 + y^2 - 2xy

--(30)^2 = x^2 + y^2 - 2(400)

--900 = x^2 + y^2 - 800

---x^2 + y^2 = 1700

now,

(x+y)^2 = x^2 + y^2 + 2xy

(x+y)^2 = 1700 + 800

(x+y) = 50 (eq2)

From EQ1 and EQ2,

x - y = 30  (eq3)

x + y = 50 (eq4)

-2y = -20

y = 10

So, x = 40 (putting in value of y in eq4)

Therefore, Suresh (x) = 10 y/o and his father (y) = 40 y/o

:)