Eena,Meena and Beena were born in three consecutive years. The product pf their ages 10 years ago was 1320. What is the sum of their ages today ?
Answers
Answer:
SUM OF THEIR AGES IS 63
10 YEARS AGO THE PRODUCT OF THEIR AGE IS 1320
SO THEIR AGES WERE 10,11,12 AS THEY WERE BORN IN CONSECUTIVE YEARS
AFTER 10 YEARS THEIR AGES IS AS IT IS ASKED OF TODAY
THERE AGES IS 20,21 ,22
SO SUM OF THEIR AGES IS 20+21+22 =63
Answer:
Sum of their ages today = 63
Step-by-step explanation:
Given data
Eena, Meena and Beena were born in three consecutive years
the product of their ages 10 years ago was 1320
Here we need to find sum of their present ages
given that Eena, Meena and Beena were born in three consecutive years
then their ages must be 3 consecutive numbers
Let x, x+1 and x+2 are be the 3 consecutive numbers and ages of Eena, Meena and Beena 10 years ago
then product of x, x + 1 and x + 2 = 1320
⇒ x ( x + 1) ( x+2) = 1320
⇒ x (x+1) (x+2) = 132 × 10 [ 1320 = 132 × 10 ]
⇒ x ( x+ 1) (x+2) = 10 × 11 × 12 [ 120 = 11 × 12 ]
⇒ Ages of Eena, Meena and Beena (10 years ago) are 10, 11 and 12
after ten years ages of Eena, Meena and Beena are 20, 21 and 22
⇒ sum of their present ages are = 20 + 21 + 22 = 63