Two numbers are in the ratio 7 : 8. If the HCF is 4, find the greater number.
Given:
The two numbers are in the ratio 7 : 8.
The HCF (Highest Common Factor) of the two numbers is 4.
Solution:
Let the numbers be 7x and 8x
the HCF of these two numbers is 4
Since 7 and 8 are coprime, their HCF is 1, so
= 7x = 74 = 28
and 8x = 84 = 32
The greater number is 32
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