Question

In 10 years, Mihoko will be 7 times as old as Kono. How old are Mihoko and Kono now if the sum of their ages is 76?

a) Mihoko: 18 years, Kono: 8 years
b) Mihoko: 30 years, Kono: 46 years
c) Mihoko: 42 years, Kono: 34 years
d) Mihoko: 22 years, Kono: 54 years

Answer 1

To find Mihoko and Kono's current ages, we can solve a system of two equations. The correct answer is option d) Mihoko: 22 years, Kono: 54 years.

Step-by-step explanation:

Let's assume that Mihoko's current age is x and Kono's current age is y.

According to the given information, the sum of their ages is 76. So we have the equation: x + y = 76.

In 10 years, Mihoko will be 7 times as old as Kono. This can be written as: x + 10 = 7(y + 10).

By solving these two equations, we can find the values of x and y which represent Mihoko and Kono's current ages.

The correct answer is option d) Mihoko: 22 years, Kono: 54 years.