Question

solve the word problems.
a) Tow number are in the ratios 2 : 3 the larger number is 30 more than half of the smaller number . find the number ​

Answer 1

Question :-

Two number are in the ratio 2 : 3. The larger number is 30 more than half of the smaller number. Find the number.

Answer :-

Let the number be 2x and 3x

According to the question -

Larger number i.e. 3x is 30 more than half of smaller number i.e. 2x :-

➩ $\sf 3x = 30 + \frac{\cancel2x}{\cancel2}$

➩ $\sf 3x = 30 + x$

➩ $\sf 3x - x = 30$

➩ $\sf 2x = 30$

➩ $\sf x = \frac{30}{2}$

➩ $\sf x = 15$

Numbers = 15 × 2 = 30 and 15 × 3 = 45.

Numbers = 30 and 45