Question

Two numbers are in ratio 3:4.The difference btwn their square is 63

Answer 1

Step-by-step explanation:

let the numbers x and y

as given in question

x:y = 3:4 or x/y = 3/4 》 x = (3/4)y ..(1)

y^2 - x^2 = 63 ......(2)

put value of x from (1) in (2)

y^2 - {(3/4)y}^2 = 63

y^2 - (3y/4)^2 = 63

y^2 - (9y^2)/16 = 63

16y^2 - 9y^2 = 63

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

16

7y^2 = 63 ×16

y^2 = 63 × 16

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

7

y^2 = 9 × 16

y^2 = 144

y = 12

now put value of y in (1) to find x

x = (3/4) 12

x = 36/4

x = 9

x:y = 3:4 = 9:12

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