Question

Find a number such that if 5,15 and 35
are added to it, the product of the first and
third results may be equal to the square of
the second
(a) 10 (b) 7 (c) 6 (d) 5​​

Answer 1

Answer:

5

Step-by-step explanation:

Let the number be x ;

Then the respective numbers formed by adding 5,15,35 are ;

(x+5),(x+15),(x+35)

According to the question :

(x+5)×(x+35) = (x+15)^2

x^2+35x+5x+175 = x^2+30x+225

40x + 175 = 30x+225

40x-30x = 225-175

10x = 50

x = 5

-----------------------------------

Hence the number is 5

Answer 2

Answer:

Answer Is D i.e 5

Step-by-step explanation:

5+15+35=55 --------------(1)

Now product of first and third

5x35=175

Square of second number

15x15=225

Difference between product and square of second number

225-175=50------------(2)

So when we subtract (1) from (2) it gives 5