Susanna's Challenges - 1

Algebra Level 2

Susanna has a wonderful b'day cake with colorful candles. There are as many candles on the cake as her new age. She takes a deep breath and blows out one-third of the candles. When she blows hard once more, one- third of the remaining candles are blown out. 8 candles are remaining. Find her age.

21 18 27 15

Ritu Roy by Ritu Roy , 22, India

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

3 solutions

Filly Mare
Jun 25, 2014

Call no. of candles "x". First blow takes out a third of the candles leaving 2 3 x \frac{2}{3}x She then blows out a third of the remaining candles 2 3 x × 1 3 = 2 x 9 \frac{2}{3}x \times \frac{1}{3}=\frac{2x}{9} Total number blown out is ( 1 3 + 2 9 ) x = 5 9 x ( \frac{1}{3} + \frac{2}{9} ) x = \frac{5}{9}x So remaining candles not blown out is 4 9 x = 8 ⇒ x = 18 \frac{4}{9}x=8 \Rightarrow \boxed{x=18}

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Azadali Jivani
Aug 11, 2015

X - X/3 - 2X/9 =8
therefore 4X = 72
X = 18 (Ans.)

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Ritu Roy
May 12, 2014

Let there be C no. of candles.

When she blows the 1st time, candles left: C - 1/3C = 2/3C

After 2nd blow, candles left: 4/9C = 8

Solving, C = 18

0 Helpful 0 Interesting 0 Brilliant 0 Confused

After 2nd blow, candles left: 4/9C = 8 to put details...

2/3C - (1/3)*2/3C = 4/9C = 8 .

Niranjan Khanderia - 6 years, 11 months ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...