The area of one room is 8 m2 smaller than the other. Find the area of each room

The area of one room is 8 m2 smaller than the other. Find the area of each room if the area of the smaller one is 7/15 of the area of the larger one.

Let the area of one room be x m ^ 2, then the area of the second room is (7/15 * x) m ^ 2 (it is known that the second room is 7/15 of the area of the second, to find a fraction of a number, you need to multiply this fraction by a number ). It is known that the area of a larger room is larger than the area of a smaller room by (x – 7/15 * x) m ^ 2 or by 8 m ^ 2. Let’s make an equation and solve it.
x – 7/15 * x = 8
8/15 * x = 8;
x = 8: 8/15;
x = 8 * 15/8;
x = 15 (m ^ 2) – the area of one room;
7/15 * x = 15 * 7/15 = 7 (m ^ 2) – the area of the second room.
Answer. 15 m ^ 2; 7 m ^ 2.