Question

2/3 of a number when multiplied by 3/4 of the same number makes 338. Then number is

Answer 1

Answer: 26

Step-by-step explanation:

Let m be the number

2/3 m x 3/4 m =338

(2x3)/(3x4) m² = 338

m²/2 = 338

m² = 676

m = 26

Answer 2

let say number = X

2/3 of the number will be = (2/3)×X

= 2X/3

3/4 of the number would be = (3/4)×X

= 3X/4

2/3 of a number when multiplied by 3/4 of the same number makes 338

(2X/3) × (3X/4) = 338

X^2/2 = 338

X^2 = 338 × 2

X^2 = 169 × 2 × 2

X^2 = 13 × 13 × 2 × 2

X^2 = 13^2 × 2^2

X^2 = (13 ×2)^2

X^2 = 26^2

X = 26

X can be -26 as well

answer = +/- 26