Question

The product of two numbers is (2/5)-3.If one of them is (5/4)-2 find the other​

Answer 1

$\huge \mathcal {\fcolorbox{red}{gray}{\green{A}\pink{N}\orange{S}\purple{W}\red{E}\blue{R}{!}}}$

Answer 2

Answer :

• Other number is (5²/2⁷)

Given :

• Product of two numbers is (2/5)-³
• One of them is (5/4)-²

To find :

• Other

Solution :

• Let the other number be x

》(2/5)-³ = (5/4)-²× x

》1/8/125 = 1/25/16 × x

》125/8 = 16/25 × x

》125 × 25 / 8 × 16 = x

》3125/128 = x

》x = (5²/2⁷)

Hence, Other number is (5²/2⁷)

Verification :

》(2/5)-³ = (5/4)-²× (5²/2⁷)

》125/8 = 16/25 × 3125/128

》125 × 25 / 8 × 16 = 3125/128

》3125/128 = 3125/128

Hence , Verified